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Deck 9: Probability and Calculus
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Question
Question
Sketch the graph of the probability density function 
over the interval 
A) 
B) 
C) 
D) 
E) 
over the interval A)
B)
C)
D)
E)
Question
Question
An insurance company needs to determine the annual premium required to break even on fire protection policies with a face value of $80,000.If x is the claim size on these policies and the analysis is restricted to the losses $20,000,$70,000,and $80,000,then the probability distribution of x is as shown in the table.What premium should customers be charged for the company to break even? Round your answer to the nearest dollar. 
A) $202
B) $14
C) $42,500
D) $203
E) $40,600
A) $202
B) $14
C) $42,500
D) $203
E) $40,600
Question
Find the standard deviation σ for the following probability distribution.Round your answer to three decimal places. 
A) 3.200
B) 1.720
C) 8.762
D) 2.960
E) 1.789
A) 3.200
B) 1.720
C) 8.762
D) 2.960
E) 1.789
Question
A card is chosen at random from three 52-card decks of standard playing cards.What is the probability that the card will be black and a face card? A face card is a king,a queen,or a jack.
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find given the probability distribution.
A) 0.320
B) 0.480
C) 0.520
D) 0.800
E) 0.200
A) 0.320
B) 0.480
C) 0.520
D) 0.800
E) 0.200
Question
For the probability density function 
on the interval 
,find the probability that 
Round your answer to the nearest hundredth.
A) 0.11
B) 0.75
C) 0.94
D) 0.13
E) 0.08
on the interval ,find the probability that Round your answer to the nearest hundredth. A) 0.11
B) 0.75
C) 0.94
D) 0.13
E) 0.08
Question
Sketch a graph of the probability distribution. 
A)
B)
C)
D)
E) 
A)
B)
C)
D)
E)
Question
Question
Find 
given the probability distribution.
A) 0.440
B) 1.000
C) 0.792
D) 0.648
E) 0.250
given the probability distribution. A) 0.440
B) 1.000
C) 0.792
D) 0.648
E) 0.250
Question
Find the constant k such that the function ![<strong>Find the constant k such that the function is a probability density function over the interval [3,8]. </strong> A) 5 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_397f_861b_77e8a72e500a_TB1301_11.jpg)
is a probability density function over the interval [3,8].
A) 5
B) ![<strong>Find the constant k such that the function is a probability density function over the interval [3,8]. </strong> A) 5 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_3980_861b_2de889f0c53b_TB1301_11.jpg)
C) ![<strong>Find the constant k such that the function is a probability density function over the interval [3,8]. </strong> A) 5 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_6091_861b_2bbd4252de45_TB1301_11.jpg)
D) ![<strong>Find the constant k such that the function is a probability density function over the interval [3,8]. </strong> A) 5 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_6092_861b_d39775408eed_TB1301_11.jpg)
E) ![<strong>Find the constant k such that the function is a probability density function over the interval [3,8]. </strong> A) 5 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_6093_861b_c347254307fa_TB1301_11.jpg)
is a probability density function over the interval [3,8]. A) 5
B)
C)
D)
E)
Question
For the probability density function 
on the interval 
find the probability that 
Round your answer to the nearest hundredth.
A) 0.17
B) 0.6
C) 0.8
D) 0.4
E) 0.13
on the interval find the probability that Round your answer to the nearest hundredth. A) 0.17
B) 0.6
C) 0.8
D) 0.4
E) 0.13
Question
Estimate the variance for the following probability distribution to two decimal places.
A) 2.00
B) 1.40
C) 1.18
D) 1.96
E) 1.00
A) 2.00
B) 1.40
C) 1.18
D) 1.96
E) 1.00
Question
Find the constant k such that the function ![<strong>Find the constant k such that the function is a probability density function over the interval [0,∞]. </strong> A) 1 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_aeb9_861b_158d0db1087b_TB1301_11.jpg)
is a probability density function over the interval [0,∞].
A) 1
B) ![<strong>Find the constant k such that the function is a probability density function over the interval [0,∞]. </strong> A) 1 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_aeba_861b_6b16e10ca15e_TB1301_11.jpg)
C) ![<strong>Find the constant k such that the function is a probability density function over the interval [0,∞]. </strong> A) 1 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_aebb_861b_a5e78b8f7b94_TB1301_11.jpg)
D) ![<strong>Find the constant k such that the function is a probability density function over the interval [0,∞]. </strong> A) 1 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_d5cc_861b_1da2f06078e6_TB1301_11.jpg)
E) ![<strong>Find the constant k such that the function is a probability density function over the interval [0,∞]. </strong> A) 1 B) C) D) E) <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aab_d5cd_861b_0f144a525864_TB1301_11.jpg)
is a probability density function over the interval [0,∞]. A) 1
B)
C)
D)
E)
Question
A baseball fan examined the record of a favorite baseball player's performance during his last 50 games.The numbers of games in which the player had zero,one,two,three,and four hits are recorded in the table shown below.Find the standard deviation .Round your answer to two decimal places. 
A) 1.36
B) 1.13
C) 1.61
D) 1.27
E) 1.17
A) 1.36
B) 1.13
C) 1.61
D) 1.27
E) 1.17
Question
Find the value of the constant a that makes the given function a probability density function on the stated interval. 
A) 
B) 
C) 
D) 
E) 1
A)
B)
C)
D)
E) 1
Question
Determine whether the table represents a probability distribution ?
Question
A publishing company introduces a new weekly magazine that sells for $4.65 on the newsstand.The marketing group of the company estimates that sales x (in thousands)will be approximated by the following probability function.Find the expected revenue.Round your answer to the nearest dollar. 
A) $96,255
B) $96
C) $491
D) $20,700
E) $490,622
A) $96,255
B) $96
C) $491
D) $20,700
E) $490,622
Question
Find the expected value E(x)for the following probability distribution.Round your answer to three decimal places. 
A) 9.061
B) 841.659
C) 6,740.410
D) 708,389.590
E) 82.100
A) 9.061
B) 841.659
C) 6,740.410
D) 708,389.590
E) 82.100
Question
Find the median of the exponential probability density function 
over the interval [0,∞).Round your answer to three decimal places.
A) 0.52
B) 0.693
C) 0.924
D) 0.455
E) 0.375
over the interval [0,∞).Round your answer to three decimal places. A) 0.52
B) 0.693
C) 0.924
D) 0.455
E) 0.375
Question
Sketch the graph of the following probability density function and locate the mean on the graph.
A) 
Mean: 2.012
B) 
Mean: 0.555
C) 
Mean: 1.848
D) 
Mean: 0.714
E) 
Mean: 1.6
A)
Mean: 2.012
B)
Mean: 0.555
C)
Mean: 1.848
D)
Mean: 0.714
E)
Mean: 1.6
Question
The daily demand x for a certain product (in hundreds of pounds)is a random variable with the probability density function ![<strong>The daily demand x for a certain product (in hundreds of pounds)is a random variable with the probability density function over the interval [0,6].Find the probability that x is within one standard deviation of the mean.Express your answer as a percent.Round to two decimal places. </strong> A) 96.42% B) 49.35% C) 62.61% D) 13.44% E) 72.77% <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aae_6e16_861b_dd198ff5708e_TB1301_11.jpg)
over the interval [0,6].Find the probability that x is within one standard deviation of the mean.Express your answer as a percent.Round to two decimal places.
A) 96.42%
B) 49.35%
C) 62.61%
D) 13.44%
E) 72.77%
over the interval [0,6].Find the probability that x is within one standard deviation of the mean.Express your answer as a percent.Round to two decimal places. A) 96.42%
B) 49.35%
C) 62.61%
D) 13.44%
E) 72.77%
Question
Find the mean,variance,and standard deviation of the normal density function 
Do not use integration.
A) expected value (mean): -3
Variance: 36
Standard deviation: 6
B) expected value (mean): 36
Variance: -3
Standard deviation: 6
C) expected value (mean): 36
Variance: 6
Standard deviation: -3
D) expected value (mean): 6
Variance: -3
Standard deviation: 36
E) expected value (mean): -3
Variance: 6
Standard deviation: 36
Do not use integration. A) expected value (mean): -3
Variance: 36
Standard deviation: 6
B) expected value (mean): 36
Variance: -3
Standard deviation: 6
C) expected value (mean): 36
Variance: 6
Standard deviation: -3
D) expected value (mean): 6
Variance: -3
Standard deviation: 36
E) expected value (mean): -3
Variance: 6
Standard deviation: 36
Question
The daily demand for gasoline (in millions of gallons)in a city is described by the probability density function 
over the interval 
Find the probability that the daily demand for gasoline will be at least 2 million gallons.Round your answer to three decimal places.
A) 0.563
B) 0.063
C) 0.141
D) 0.391
E) 0.25
over the interval Find the probability that the daily demand for gasoline will be at least 2 million gallons.Round your answer to three decimal places. A) 0.563
B) 0.063
C) 0.141
D) 0.391
E) 0.25
Question
Let x be a random variable that is normally distributed with the given mean 
and standard deviation 
Find the probability 
using a symbolic integration utility.Round your answer to four decimal places.
A) 0.3085
B) 0.2525
C) 0.1908
D) 0.1223
E) 0.1695
and standard deviation Find the probability using a symbolic integration utility.Round your answer to four decimal places. A) 0.3085
B) 0.2525
C) 0.1908
D) 0.1223
E) 0.1695
Question
Sketch the graph of the following probability density function and locate the mean on the graph.
A) 
Mean: 2
B) 
Mean: 3
C) 
Mean: 4
D) 
Mean: 4
E) 
Mean: 1.5
A)
Mean: 2
B)
Mean: 3
C)
Mean: 4
D)
Mean: 4
E)
Mean: 1.5
Question
Find the mean,variance,and standard deviation of the uniform distribution ![<strong>Find the mean,variance,and standard deviation of the uniform distribution over the interval [0,26] without using integration. </strong> A) expected value (mean): 13 Variance: 56.333 Standard deviation: 7.506 B) expected value (mean): 56.333 Variance: 13 Standard deviation: 7.506 C) expected value (mean): 56.333 Variance: 7.506 Standard deviation: 13 D) expected value (mean): 7.506 Variance: 13 Standard deviation: 56.333 E) expected value (mean): 13 Variance: 7.506 Standard deviation: 56.333 <div style=padding-top: 35px>](https://storage.examlex.com/TB1301/11ea8970_6aad_d1ca_861b_c12998b99692_TB1301_11.jpg)
over the interval [0,26] without using integration.
A) expected value (mean): 13
Variance: 56.333
Standard deviation: 7.506
B) expected value (mean): 56.333
Variance: 13
Standard deviation: 7.506
C) expected value (mean): 56.333
Variance: 7.506
Standard deviation: 13
D) expected value (mean): 7.506
Variance: 13
Standard deviation: 56.333
E) expected value (mean): 13
Variance: 7.506
Standard deviation: 56.333
over the interval [0,26] without using integration. A) expected value (mean): 13
Variance: 56.333
Standard deviation: 7.506
B) expected value (mean): 56.333
Variance: 13
Standard deviation: 7.506
C) expected value (mean): 56.333
Variance: 7.506
Standard deviation: 13
D) expected value (mean): 7.506
Variance: 13
Standard deviation: 56.333
E) expected value (mean): 13
Variance: 7.506
Standard deviation: 56.333
Question
A meteorologist predicts that the amount of rainfall (in inches)expected for a certain coastal community during a hurricane has the probability density function 
, 
Find and interpret the probability 
A) 17% probability of receiving up to 5 inches of rain
B) 25% probability of receiving up to 5 inches of rain
C) 30% probability of receiving up to 5 inches of rain
D) 75% probability of receiving up to 5 inches of rain
E) 83% probability of receiving up to 5 inches of rain
, Find and interpret the probability A) 17% probability of receiving up to 5 inches of rain
B) 25% probability of receiving up to 5 inches of rain
C) 30% probability of receiving up to 5 inches of rain
D) 75% probability of receiving up to 5 inches of rain
E) 83% probability of receiving up to 5 inches of rain
Question
Let x be a random variable that is normally distributed with the given mean 
and standard deviation 
Find the probability 
using a symbolic integration utility.Round your answer to four decimal places.
A) 0.6687
B) 0.797
C) 0.5889
D) 0.5292
E) 0.5359
and standard deviation Find the probability using a symbolic integration utility.Round your answer to four decimal places. A) 0.6687
B) 0.797
C) 0.5889
D) 0.5292
E) 0.5359
Question
The time t (in hours)required for a new employee to successfully learn to operate a machine in a manufacturing process is described by the probability density function 
over the interval 
Find the probability that a new employee will learn to operate the machine in more than 4 hours but less than 7 hours.Round your answer to four decimal places.
A) 0.5371
B) 0.1583
C) 0.4632
D) 0.1469
E) 0.3162
over the interval Find the probability that a new employee will learn to operate the machine in more than 4 hours but less than 7 hours.Round your answer to four decimal places. A) 0.5371
B) 0.1583
C) 0.4632
D) 0.1469
E) 0.3162
Question
For the probability density function 
on the interval 
,find the probability that 
Round your answer to the nearest thousandth.
A) 0.063
B) 0.27
C) 0.149
D) 0.2
E) 0.189
on the interval ,find the probability that Round your answer to the nearest thousandth. A) 0.063
B) 0.27
C) 0.149
D) 0.2
E) 0.189
Question
If X is an exponential random variable with the probability density function 
,find E(X).
A) 10
B) 5
C) 
D) 
E) 1
,find E(X). A) 10
B) 5
C)
D)
E) 1
Question
Buses arrive and depart from a college every 20 minutes.The probability density function for the waiting time t (in minutes)for a person arriving at the bus stop is 
on the interval 
Find the probability that the person will wait no longer than 5 minutes.
A) 
B) 
C) 
D) 
E) 
on the interval Find the probability that the person will wait no longer than 5 minutes. A)
B)
C)
D)
E)
Question
Find the mean and median of 
A) mean: 24.00
Median: 24.00
B) mean: 24.00
Median: 0.17
C) mean: 4.00
Median: 0.50
D) mean: 6.00
Median: 6.00
E) mean: 0.50
Median: 0.50
A) mean: 24.00
Median: 24.00
B) mean: 24.00
Median: 0.17
C) mean: 4.00
Median: 0.50
D) mean: 6.00
Median: 6.00
E) mean: 0.50
Median: 0.50
Question
For the given probability density function,find Var(X).Round your answer to three decimal places.
A) 12
B) 6.4
C) 9
D) 5.4
E) 28.8
A) 12
B) 6.4
C) 9
D) 5.4
E) 28.8
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Deck 9: Probability and Calculus
1
A coin is tossed three times.Describe the event A that at least two tails occur.
A) {TTT, THH, THT, HHT}
B) {HHH, TTH, THT, HTT}
C) {TTT, TTH, THT, HTT}
D) {TTTT, TTHT, THTT, HTTT}
E) {TT,HT,TH}
A) {TTT, THH, THT, HHT}
B) {HHH, TTH, THT, HTT}
C) {TTT, TTH, THT, HTT}
D) {TTTT, TTHT, THTT, HTTT}
E) {TT,HT,TH}
{TTT, TTH, THT, HTT}
2
Sketch the graph of the probability density function over the interval
A)
B)
C)
D)
E)
over the interval A)
B)
C)
D)
E)
3
Three people are asked their opinions on a political issue.They can answer Opposed (O)or Undecided (U).Find the sample space S.
A) {OOO, OOU, OUO, UOO, UUU, UUO, UOU}
B) {OOO, OOU, UOO, UUU, UUO, UOU, OUU}
C) {OOO, OOU, OUO, UOO, UUO, UOU, OUU}
D) {OOO, OUO, UOO, UUO, UOU, OUU}
E) {OOO,OOU,OUO,UOO,UUU,UUO,UOU,OUU}
A) {OOO, OOU, OUO, UOO, UUU, UUO, UOU}
B) {OOO, OOU, UOO, UUU, UUO, UOU, OUU}
C) {OOO, OOU, OUO, UOO, UUO, UOU, OUU}
D) {OOO, OUO, UOO, UUO, UOU, OUU}
E) {OOO,OOU,OUO,UOO,UUU,UUO,UOU,OUU}
{OOO,OOU,OUO,UOO,UUU,UUO,UOU,OUU}
4
An insurance company needs to determine the annual premium required to break even on fire protection policies with a face value of $80,000.If x is the claim size on these policies and the analysis is restricted to the losses $20,000,$70,000,and $80,000,then the probability distribution of x is as shown in the table.What premium should customers be charged for the company to break even? Round your answer to the nearest dollar.
A) $202
B) $14
C) $42,500
D) $203
E) $40,600
A) $202
B) $14
C) $42,500
D) $203
E) $40,600
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5
Find the standard deviation σ for the following probability distribution.Round your answer to three decimal places.
A) 3.200
B) 1.720
C) 8.762
D) 2.960
E) 1.789
A) 3.200
B) 1.720
C) 8.762
D) 2.960
E) 1.789
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6
A card is chosen at random from three 52-card decks of standard playing cards.What is the probability that the card will be black and a face card? A face card is a king,a queen,or a jack.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Find given the probability distribution.
A) 0.320
B) 0.480
C) 0.520
D) 0.800
E) 0.200
A) 0.320
B) 0.480
C) 0.520
D) 0.800
E) 0.200
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Unlock for access to all 36 flashcards in this deck.
Unlock Deck
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8
For the probability density function on the interval ,find the probability that Round your answer to the nearest hundredth.
A) 0.11
B) 0.75
C) 0.94
D) 0.13
E) 0.08
on the interval ,find the probability that Round your answer to the nearest hundredth. A) 0.11
B) 0.75
C) 0.94
D) 0.13
E) 0.08
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9
Sketch a graph of the probability distribution.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
If x is the net gain to a player in a game of chance,then E(x)is usually negative.This value gives the average amount per game the player can expect to lose over the long run.A service organization is selling $2 raffle tickets as part of a fundraising program.The first prize is a boat valued at $2910,and the second prize is a camping tent valued at $400.In addition to the first and second prizes,there are twenty $24 gift certificates to be awarded.The number of tickets sold is 3000.Find the expected net gain to the player for one play of the game.Round your answer to the nearest cent.
A) $1,109.33
B) $1.34
C) $0.74
D) -$0.74
E) -$1,109.33
A) $1,109.33
B) $1.34
C) $0.74
D) -$0.74
E) -$1,109.33
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11
Find given the probability distribution.
A) 0.440
B) 1.000
C) 0.792
D) 0.648
E) 0.250
given the probability distribution. A) 0.440
B) 1.000
C) 0.792
D) 0.648
E) 0.250
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k this deck
12
Find the constant k such that the function is a probability density function over the interval [3,8].
A) 5
B)
C)
D)
E)
is a probability density function over the interval [3,8]. A) 5
B)
C)
D)
E)
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13
For the probability density function on the interval find the probability that Round your answer to the nearest hundredth.
A) 0.17
B) 0.6
C) 0.8
D) 0.4
E) 0.13
on the interval find the probability that Round your answer to the nearest hundredth. A) 0.17
B) 0.6
C) 0.8
D) 0.4
E) 0.13
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14
Estimate the variance for the following probability distribution to two decimal places.
A) 2.00
B) 1.40
C) 1.18
D) 1.96
E) 1.00
A) 2.00
B) 1.40
C) 1.18
D) 1.96
E) 1.00
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15
Find the constant k such that the function is a probability density function over the interval [0,∞].
A) 1
B)
C)
D)
E)
is a probability density function over the interval [0,∞]. A) 1
B)
C)
D)
E)
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16
A baseball fan examined the record of a favorite baseball player's performance during his last 50 games.The numbers of games in which the player had zero,one,two,three,and four hits are recorded in the table shown below.Find the standard deviation .Round your answer to two decimal places.
A) 1.36
B) 1.13
C) 1.61
D) 1.27
E) 1.17
A) 1.36
B) 1.13
C) 1.61
D) 1.27
E) 1.17
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17
Find the value of the constant a that makes the given function a probability density function on the stated interval.
A)
B)
C)
D)
E) 1
A)
B)
C)
D)
E) 1
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18
Determine whether the table represents a probability distribution ?
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19
A publishing company introduces a new weekly magazine that sells for $4.65 on the newsstand.The marketing group of the company estimates that sales x (in thousands)will be approximated by the following probability function.Find the expected revenue.Round your answer to the nearest dollar.
A) $96,255
B) $96
C) $491
D) $20,700
E) $490,622
A) $96,255
B) $96
C) $491
D) $20,700
E) $490,622
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20
Find the expected value E(x)for the following probability distribution.Round your answer to three decimal places.
A) 9.061
B) 841.659
C) 6,740.410
D) 708,389.590
E) 82.100
A) 9.061
B) 841.659
C) 6,740.410
D) 708,389.590
E) 82.100
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21
Find the median of the exponential probability density function over the interval [0,∞).Round your answer to three decimal places.
A) 0.52
B) 0.693
C) 0.924
D) 0.455
E) 0.375
over the interval [0,∞).Round your answer to three decimal places. A) 0.52
B) 0.693
C) 0.924
D) 0.455
E) 0.375
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22
Sketch the graph of the following probability density function and locate the mean on the graph.
A)
Mean: 2.012
B)
Mean: 0.555
C)
Mean: 1.848
D)
Mean: 0.714
E)
Mean: 1.6
A)
Mean: 2.012
B)
Mean: 0.555
C)
Mean: 1.848
D)
Mean: 0.714
E)
Mean: 1.6
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23
The daily demand x for a certain product (in hundreds of pounds)is a random variable with the probability density function over the interval [0,6].Find the probability that x is within one standard deviation of the mean.Express your answer as a percent.Round to two decimal places.
A) 96.42%
B) 49.35%
C) 62.61%
D) 13.44%
E) 72.77%
over the interval [0,6].Find the probability that x is within one standard deviation of the mean.Express your answer as a percent.Round to two decimal places. A) 96.42%
B) 49.35%
C) 62.61%
D) 13.44%
E) 72.77%
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24
Find the mean,variance,and standard deviation of the normal density function Do not use integration.
A) expected value (mean): -3
Variance: 36
Standard deviation: 6
B) expected value (mean): 36
Variance: -3
Standard deviation: 6
C) expected value (mean): 36
Variance: 6
Standard deviation: -3
D) expected value (mean): 6
Variance: -3
Standard deviation: 36
E) expected value (mean): -3
Variance: 6
Standard deviation: 36
Do not use integration. A) expected value (mean): -3
Variance: 36
Standard deviation: 6
B) expected value (mean): 36
Variance: -3
Standard deviation: 6
C) expected value (mean): 36
Variance: 6
Standard deviation: -3
D) expected value (mean): 6
Variance: -3
Standard deviation: 36
E) expected value (mean): -3
Variance: 6
Standard deviation: 36
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25
The daily demand for gasoline (in millions of gallons)in a city is described by the probability density function over the interval Find the probability that the daily demand for gasoline will be at least 2 million gallons.Round your answer to three decimal places.
A) 0.563
B) 0.063
C) 0.141
D) 0.391
E) 0.25
over the interval Find the probability that the daily demand for gasoline will be at least 2 million gallons.Round your answer to three decimal places. A) 0.563
B) 0.063
C) 0.141
D) 0.391
E) 0.25
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26
Let x be a random variable that is normally distributed with the given mean and standard deviation Find the probability using a symbolic integration utility.Round your answer to four decimal places.
A) 0.3085
B) 0.2525
C) 0.1908
D) 0.1223
E) 0.1695
and standard deviation Find the probability using a symbolic integration utility.Round your answer to four decimal places. A) 0.3085
B) 0.2525
C) 0.1908
D) 0.1223
E) 0.1695
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27
Sketch the graph of the following probability density function and locate the mean on the graph.
A)
Mean: 2
B)
Mean: 3
C)
Mean: 4
D)
Mean: 4
E)
Mean: 1.5
A)
Mean: 2
B)
Mean: 3
C)
Mean: 4
D)
Mean: 4
E)
Mean: 1.5
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28
Find the mean,variance,and standard deviation of the uniform distribution over the interval [0,26] without using integration.
A) expected value (mean): 13
Variance: 56.333
Standard deviation: 7.506
B) expected value (mean): 56.333
Variance: 13
Standard deviation: 7.506
C) expected value (mean): 56.333
Variance: 7.506
Standard deviation: 13
D) expected value (mean): 7.506
Variance: 13
Standard deviation: 56.333
E) expected value (mean): 13
Variance: 7.506
Standard deviation: 56.333
over the interval [0,26] without using integration. A) expected value (mean): 13
Variance: 56.333
Standard deviation: 7.506
B) expected value (mean): 56.333
Variance: 13
Standard deviation: 7.506
C) expected value (mean): 56.333
Variance: 7.506
Standard deviation: 13
D) expected value (mean): 7.506
Variance: 13
Standard deviation: 56.333
E) expected value (mean): 13
Variance: 7.506
Standard deviation: 56.333
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29
A meteorologist predicts that the amount of rainfall (in inches)expected for a certain coastal community during a hurricane has the probability density function , Find and interpret the probability
A) 17% probability of receiving up to 5 inches of rain
B) 25% probability of receiving up to 5 inches of rain
C) 30% probability of receiving up to 5 inches of rain
D) 75% probability of receiving up to 5 inches of rain
E) 83% probability of receiving up to 5 inches of rain
, Find and interpret the probability A) 17% probability of receiving up to 5 inches of rain
B) 25% probability of receiving up to 5 inches of rain
C) 30% probability of receiving up to 5 inches of rain
D) 75% probability of receiving up to 5 inches of rain
E) 83% probability of receiving up to 5 inches of rain
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30
Let x be a random variable that is normally distributed with the given mean and standard deviation Find the probability using a symbolic integration utility.Round your answer to four decimal places.
A) 0.6687
B) 0.797
C) 0.5889
D) 0.5292
E) 0.5359
and standard deviation Find the probability using a symbolic integration utility.Round your answer to four decimal places. A) 0.6687
B) 0.797
C) 0.5889
D) 0.5292
E) 0.5359
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31
The time t (in hours)required for a new employee to successfully learn to operate a machine in a manufacturing process is described by the probability density function over the interval Find the probability that a new employee will learn to operate the machine in more than 4 hours but less than 7 hours.Round your answer to four decimal places.
A) 0.5371
B) 0.1583
C) 0.4632
D) 0.1469
E) 0.3162
over the interval Find the probability that a new employee will learn to operate the machine in more than 4 hours but less than 7 hours.Round your answer to four decimal places. A) 0.5371
B) 0.1583
C) 0.4632
D) 0.1469
E) 0.3162
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32
For the probability density function on the interval ,find the probability that Round your answer to the nearest thousandth.
A) 0.063
B) 0.27
C) 0.149
D) 0.2
E) 0.189
on the interval ,find the probability that Round your answer to the nearest thousandth. A) 0.063
B) 0.27
C) 0.149
D) 0.2
E) 0.189
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33
If X is an exponential random variable with the probability density function ,find E(X).
A) 10
B) 5
C)
D)
E) 1
,find E(X). A) 10
B) 5
C)
D)
E) 1
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34
Buses arrive and depart from a college every 20 minutes.The probability density function for the waiting time t (in minutes)for a person arriving at the bus stop is on the interval Find the probability that the person will wait no longer than 5 minutes.
A)
B)
C)
D)
E)
on the interval Find the probability that the person will wait no longer than 5 minutes. A)
B)
C)
D)
E)
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35
Find the mean and median of
A) mean: 24.00
Median: 24.00
B) mean: 24.00
Median: 0.17
C) mean: 4.00
Median: 0.50
D) mean: 6.00
Median: 6.00
E) mean: 0.50
Median: 0.50
A) mean: 24.00
Median: 24.00
B) mean: 24.00
Median: 0.17
C) mean: 4.00
Median: 0.50
D) mean: 6.00
Median: 6.00
E) mean: 0.50
Median: 0.50
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36
For the given probability density function,find Var(X).Round your answer to three decimal places.
A) 12
B) 6.4
C) 9
D) 5.4
E) 28.8
A) 12
B) 6.4
C) 9
D) 5.4
E) 28.8
Unlock Deck
Unlock for access to all 36 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 36 flashcards in this deck.
