Question 1

$$\begin{array}{l}
\text { Find the mean of the distribution shown below. }\
\begin{array} { l | c c c } 
\boldsymbol { X } & 2 & 3 & 4 \
\hline \boldsymbol { P } ( \boldsymbol { X } ) & 0.36 & 0.32 & 0.32
\end{array}
\end{array}$$

Accepted Answer

A)  1.60 
B)  2.96 
C)  2.92 
D)  2.56 
A)  1.60 
B)  2.96 
C)  2.92 
D)  2.56

Question 2

The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let $X$ represent the number of errors on 3 pages. Find $P ( 9 )$.

Accepted Answer

A)  0.1186 
B)  0.0027 
C)  0.1318 
D)  0.9973 
A)  0.1186 
B)  0.0027 
C)  0.1318 
D)  0.9973

Question 3

$$\begin{array}{l}
\text { Determine whether the table represents a discrete probability distribution. }\
\begin{array} { c c } 
\hline x & P ( x ) \
\hline - 3 & 0.05 \
- 2 & 0.15 \
- 1 & 0.35 \
0 & 0.45 \
\hline
\end{array}
\end{array}$$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 4

Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store

Accepted Answer

A)  discrete 
B)  continuous 
A)  discrete 
B)  continuous

Question 5

A student takes a true-false test that has 13 questions and guesses randomly at each answer. Let $X$ be the number of questions answered correctly. Find $P ($ Fewer than $4 )$

Accepted Answer

A)  0.8666 
B)  0.0112 
C)  0.1334 
D)  0.0461 
A)  0.8666 
B)  0.0112 
C)  0.1334 
D)  0.0461

Question 6

The failure rate for taking the bar exam in Philadelphia is 41%. If 375 people take the bar exam, what is the mean for the number of failures?

Accepted Answer

A)  153.8 
B)  221.3 
C)  90.7 
D)  138.1 
A)  153.8 
B)  221.3 
C)  90.7 
D)  138.1

Question 7

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 30% of adult Australian sheep dogs weigh 65 pounds or more. A sample
Of 19 adult dogs is studied. What is the probability that exactly 8 of them weigh 65 lb or
More?

Accepted Answer

A)  0.0981 
B)  0.9923 
C)  0.9019 
D)  0.0077 
A)  0.0981 
B)  0.9923 
C)  0.9019 
D)  0.0077

Question 8

On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If five people are randomly selected
On Monday morning, what is the probability that all but one went out Saturday night?

Accepted Answer

A)  0.116 
B)  0.048 
C)  0.181 
D)  0.312 
A)  0.116 
B)  0.048 
C)  0.181 
D)  0.312

Question 9

The figure below represents the probability distribution for selecting a number of ، out of a container. Construct a probability distribution from this graph.
  bjects

Accepted Answer

\[\begin{array} { l | l l l l l } 
\text

Question 10

$$\begin{array}{l}
\text { What is the standard deviation of the following probability distribution? }\
\begin{array} { l | c c c c c } 
\boldsymbol { X } & 0 & 2 & 4 & 6 & 8 \
\hline \boldsymbol { P } ( \boldsymbol { X } ) & 0.20 & 0.05 & 0.35 & 0.25 & 0.15
\end{array}
\end{array}$$

Accepted Answer

A)  3.9 
B)  2.6 
C)  4.7 
D)  5.4 
A)  3.9 
B)  2.6 
C)  4.7 
D)  5.4

Question 11

Construct a probability distribution for the sum shown on the faces when two
dice are rolled. Find the mean, variance, and standard deviation of the
distribution.

Accepted Answer

\[\begin{array} { l | c c c c c c c c c

Question 12

The number of song requests a radio station receives per day is indicated in the tat below. Construct a graph for this data.
$\begin{array}{l|ccccc}
\text { Number of calls } \boldsymbol{X} & 8 & 9 & 10 & 11 & 12 \
\hline \text { Probability } \boldsymbol{P}(\boldsymbol{X}) & 0.21 & 0.31 & 0.16 & 0.14 & 0.18
\end{array}$

Accepted Answer

The answer of The number of song requests a radio...

Question 13

The following table presents the probability distribution of the number of vacations taken last year for a randomly chosen family. Compute the mean $\mu$.
$\begin{array}{c|ccccc}
x & 0 & 1 & 2 & 3 & 4 \
\hline P(x) & 0.12 & 0.59 & 0.16 & 0.1 & 0.03
\end{array}$

Accepted Answer

A)  1.45 
B)  0.92 
C)  1.33 
D)  0.84 
A)  1.45 
B)  0.92 
C)  1.33 
D)  0.84

Question 14

A student takes a 5 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets
Exactly 3 questions correct?

Accepted Answer

A)  0.022 
B)  0.176 
C)  0.088 
D)  0.066 
A)  0.022 
B)  0.176 
C)  0.088 
D)  0.066

Question 15

$$\begin{array}{l}
\text { The following distribution is $\underline{\text { not }}$  a probability distribution because }\
\begin{array} { l | c c c c c } 
\boldsymbol { X } & - 2 & - 1 & 0 & 1 & 2 \
\hline \boldsymbol { P } ( \boldsymbol { X } ) & 0.24 & 0.17 & - 0.22 & 0.50 & 0.31
\end{array}
\end{array}$$

Accepted Answer

A)  the probability values are not discrete. 
B)  a probability is negative. 
C)  the probability values do not add to 1. 
D)  values of the variable are negative. 
A)  the probability values are not discrete. 
B)  a probability is negative. 
C)  the probability values do not add to 1. 
D)  values of the variable are negative.

Question 16

In a survey, 55% of the voters support a particular referendum. If 40 voters are
chosen at random, find the mean and variance for the number of voters who
support the referendum.

Accepted Answer

The mean i

Question 17

A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed.

Accepted Answer

A)  6.78 
B)  4.24 
C)  18 
D)  36 
A)  6.78 
B)  4.24 
C)  18 
D)  36

Question 18

Discrete variables have values that can be measured.

Accepted Answer

A) True 
 B)False

Question 19

Use the multinomial formula to find the probability for the situation in which $n = 5 , X$ $= 2 , X _ { 2 } = 2 , X _ { 3 } = 1$, and $p _ { 1 } = 0.3 , p _ { 2 } = 0.4 , p _ { 3 } = 0.3$.

Accepted Answer

A)  0.0648 
B)  0.1944 
C)  0.0972 
D)  0.1296 
A)  0.0648 
B)  0.1944 
C)  0.0972 
D)  0.1296

Question 20

$$\begin{array}{l}
\text { Find the mean of the distribution shown below. }\
\begin{array} { l | c c c c } 
\boldsymbol { X } & 2 & 5 & 6 & 7 \
\hline \boldsymbol { P } ( \boldsymbol { X } ) & 0.12 & 0.64 & 0.18 & 0.06
\end{array}
\end{array}$$

Accepted Answer

A)  0.25 
B)  20 
C)  1 
D)  4.94 
A)  0.25 
B)  20 
C)  1 
D)  4.94

Find the mean of the distribution shown below. 2 3 4 ( ) 0.36 0.32 0.32

The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let $X$ represent the number of errors on 3 pages. Find $P ( 9 )$ .

Determine whether the table represents a discrete probability distribution. x P(x) -3 0.05 -2 0.15 -1 0.35 0 0.45

Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store

A student takes a true-false test that has 13 questions and guesses randomly at each answer. Let $X$ be the number of questions answered correctly. Find $P ($ Fewer than $4 )$

The failure rate for taking the bar exam in Philadelphia is 41%. If 375 people take the bar exam, what is the mean for the number of failures?

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 30% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 19 adult dogs is studied. What is the probability that exactly 8 of them weigh 65 lb or More?

On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If five people are randomly selected On Monday morning, what is the probability that all but one went out Saturday night?

The figure below represents the probability distribution for selecting a number of ، out of a container. Construct a probability distribution from this graph. bjects

What is the standard deviation of the following probability distribution? 0 2 4 6 8 ( ) 0.20 0.05 0.35 0.25 0.15

Construct a probability distribution for the sum shown on the faces when two dice are rolled. Find the mean, variance, and standard deviation of the distribution.

The number of song requests a radio station receives per day is indicated in the tat below. Construct a graph for this data. Number of calls 8 9 10 11 12 Probability ( ) 0.21 0.31 0.16 0.14 0.18

The following table presents the probability distribution of the number of vacations taken last year for a randomly chosen family. Compute the mean $\mu$ . x 0 1 2 3 4 P(x) 0.12 0.59 0.16 0.1 0.03

A student takes a 5 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets Exactly 3 questions correct?

The following distribution is a probability distribution because -2 -1 0 1 2 ( ) 0.24 0.17 -0.22 0.50 0.31

In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.

A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed.

Discrete variables have values that can be measured.

Use the multinomial formula to find the probability for the situation in which $n = 5 , X$ $= 2 , X _ { 2 } = 2 , X _ { 3 } = 1$ , and $p _ { 1 } = 0.3 , p _ { 2 } = 0.4 , p _ { 3 } = 0.3$ .

Find the mean of the distribution shown below. 2 5 6 7 ( ) 0.12 0.64 0.18 0.06

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 5: Discrete Probability Distributions

Find the mean of the distribution shown below. 2 3 4 ( ) 0.36 0.32 0.32

The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let XXX represent the number of errors on 3 pages. Find P(9)P ( 9 )P(9) .

Determine whether the table represents a discrete probability distribution. x P(x) -3 0.05 -2 0.15 -1 0.35 0 0.45

Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store

A student takes a true-false test that has 13 questions and guesses randomly at each answer. Let XXX be the number of questions answered correctly. Find P(P (P( Fewer than 4)4 )4)

The failure rate for taking the bar exam in Philadelphia is 41%. If 375 people take the bar exam, what is the mean for the number of failures?

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 30% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 19 adult dogs is studied. What is the probability that exactly 8 of them weigh 65 lb or More?

On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If five people are randomly selected On Monday morning, what is the probability that all but one went out Saturday night?

The figure below represents the probability distribution for selecting a number of ، out of a container. Construct a probability distribution from this graph. bjects

What is the standard deviation of the following probability distribution? 0 2 4 6 8 ( ) 0.20 0.05 0.35 0.25 0.15

Construct a probability distribution for the sum shown on the faces when two dice are rolled. Find the mean, variance, and standard deviation of the distribution.

The number of song requests a radio station receives per day is indicated in the tat below. Construct a graph for this data. Number of calls 8 9 10 11 12 Probability ( ) 0.21 0.31 0.16 0.14 0.18

The following table presents the probability distribution of the number of vacations taken last year for a randomly chosen family. Compute the mean μ\muμ . x 0 1 2 3 4 P(x) 0.12 0.59 0.16 0.1 0.03

A student takes a 5 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets Exactly 3 questions correct?

The following distribution is a probability distribution because -2 -1 0 1 2 ( ) 0.24 0.17 -0.22 0.50 0.31

In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.

A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed.

Discrete variables have values that can be measured.

Use the multinomial formula to find the probability for the situation in which n=5,Xn = 5 , Xn=5,X =2,X2=2,X3=1= 2 , X _ { 2 } = 2 , X _ { 3 } = 1=2,X2​=2,X3​=1 , and p1=0.3,p2=0.4,p3=0.3p _ { 1 } = 0.3 , p _ { 2 } = 0.4 , p _ { 3 } = 0.3p1​=0.3,p2​=0.4,p3​=0.3 .

Find the mean of the distribution shown below. 2 5 6 7 ( ) 0.12 0.64 0.18 0.06

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let $X$ represent the number of errors on 3 pages. Find $P ( 9 )$ .

A student takes a true-false test that has 13 questions and guesses randomly at each answer. Let $X$ be the number of questions answered correctly. Find $P ($ Fewer than $4 )$

The following table presents the probability distribution of the number of vacations taken last year for a randomly chosen family. Compute the mean $\mu$ . x 0 1 2 3 4 P(x) 0.12 0.59 0.16 0.1 0.03

Use the multinomial formula to find the probability for the situation in which $n = 5 , X$ $= 2 , X _ { 2 } = 2 , X _ { 3 } = 1$ , and $p _ { 1 } = 0.3 , p _ { 2 } = 0.4 , p _ { 3 } = 0.3$ .