Question 1

The mean, median, and mode have the same value for which of the following probability distributions?

Accepted Answer

A) uniform 
B) normal 
C) exponential 
D) Poisson 
A) uniform 
B) normal 
C) exponential 
D) Poisson

Question 2

Exhibit 6-2
The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
-Refer to Exhibit 6-2. The probability that her trip will take longer than 60 minutes is

Accepted Answer

A) 1.00 
B) 0.40 
C) 0.02 
D) 0.600 
A) 1.00 
B) 0.40 
C) 0.02 
D) 0.600

Question 3

Z is a standard normal random variable. What is the value of z if the area between -z and z is 0.754?

Accepted Answer

A) 0.377 
B) 0.123 
C) 2.16 
D) 1.16 
A) 0.377 
B) 0.123 
C) 2.16 
D) 1.16

Question 4

The time required to assemble a part of a machine follows an exponential probability distribution with a mean of 14 minutes.
a.What is the probability that the part can be assembled in 7 minutes or less?
b.What is the probability that the part can be assembled between 3.5 and 7 minutes?

Accepted Answer

The answer of The time required to assemble a part...

Question 5

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow

Accepted Answer

A) a Poisson probability distribution 
B) a normal probability distribution 
C) a uniform probability distribution 
D) an exponential probability distribution 
A) a Poisson probability distribution 
B) a normal probability distribution 
C) a uniform probability distribution 
D) an exponential probability distribution

Question 6

In grading eggs into small, medium, and large, the Linda Farms packs the eggs that weigh more than 3.6 ounces in packages marked "large" and the eggs that weigh less than 2.4 ounces into packages marked "small"; the remainder are packed in packages marked "medium." If a day's packaging contained 10.2% large and 4.18% small eggs, determine the mean and the standard deviation for the eggs' weights. Assume that the distribution of the weights is normal.

Accepted Answer

Mean F1F1F1S1F1F1F1

Question 7

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes.
a.What is the probability that the arrival time between customers will be 7 minutes or less?
b.What is the probability that the arrival time between customers will be between 3 and 7 minutes?

Accepted Answer

The answer of The time between arrivals of customers at...

Question 8

A continuous random variable may assume

Accepted Answer

A) all values in an interval or collection of intervals 
B) only integer values in an interval or collection of intervals 
C) only fractional values in an interval or collection of intervals 
D) all the positive integer values in an interval 
A) all values in an interval or collection of intervals 
B) only integer values in an interval or collection of intervals 
C) only fractional values in an interval or collection of intervals 
D) all the positive integer values in an interval

Question 9

When using Excel's EXPON.DIST function, one should choose TRUE for the third input if

Accepted Answer

A) a probability is desired 
B) a cumulative probability is desired 
C) the expected value is desired 
D) the correct answer is desired 
A) a probability is desired 
B) a cumulative probability is desired 
C) the expected value is desired 
D) the correct answer is desired

Question 10

Exhibit 6-7
  
-Refer to Exhibit 6-7. The mean of x is

Accepted Answer

A) 0.10 
B) 10 
C) 100 
D) 1,000 
A) 0.10 
B) 10 
C) 100 
D) 1,000

Question 11

Exhibit 6-2
The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
-Refer to Exhibit 6-2. The probability that her trip will take exactly 50 minutes is

Accepted Answer

A) zero 
B) 0.02 
C) 0.06 
D) 0.20 
A) zero 
B) 0.02 
C) 0.06 
D) 0.20

Question 12

The life expectancy of point-of-sale (POS) terminals is normally distributed with a mean of 4 years and a standard deviation of 10 months.
a.What is the probability that a randomly selected terminal will last more than 5 years?
b.What percentage of terminals will last between 5 and 6 years?
c.What percentage of terminals will last less than 4 years?
d.What percentage of terminals will last between 2.5 and 4.5 years?
e.If the manufacturer guarantees the terminals for 3 years (and will replace them if they malfunction), what percentage of terminals will be replaced?

Accepted Answer

a.0.1151
b

Question 13

For a continuous random variable x, the probability density function f(x) represents

Accepted Answer

A) the probability at a given value of x 
B) the area under the curve at x 
C) Both the probability at a given value of x and the area under the curve at x are correct answers. 
D) the height of the function at x 
A) the probability at a given value of x 
B) the area under the curve at x 
C) Both the probability at a given value of x and the area under the curve at x are correct answers. 
D) the height of the function at x

Question 14

Exhibit 6-1
Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28.
-Refer to Exhibit 6-1. The probability that x will take on a value between 21 and 25 is

Accepted Answer

A) 0.125 
B) 0.250 
C) 0.500 
D) 1.000 
A) 0.125 
B) 0.250 
C) 0.500 
D) 1.000

Question 15

There is a lower limit but no upper limit for a random variable that follows the

Accepted Answer

A) uniform probability distribution 
B) normal probability distribution 
C) exponential probability distribution 
D) binomial probability distribution 
A) uniform probability distribution 
B) normal probability distribution 
C) exponential probability distribution 
D) binomial probability distribution

Question 16

A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams. Determine the mean and the standard deviation.

Accepted Answer

Mean F1F1F1S1F1F1F1

Question 17

The advertised weight on a can of soup is 10 ounces. The actual weight in the cans follows a uniform distribution and varies between 9.3 and 10.3 ounces.
a.Give the mathematical expression for the probability density function.
b.What is the probability that a can of soup will have between 9.4 and 10.3 ounces?
c.What is the mean weight of a can of soup?
d.What is the standard deviation of the weight?

Accepted Answer

a.f(x) F1F1F1S1F1F1F10 1.000

Question 18

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product between 7 to 9 minutes is

Accepted Answer

A) zero 
B) 0.50 
C) 0.20 
D) 1 
A) zero 
B) 0.50 
C) 0.20 
D) 1

The mean, median, and mode have the same value for which of the following probability distributions?

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take longer than 60 minutes is

Z is a standard normal random variable. What is the value of z if the area between -z and z is 0.754?

The time required to assemble a part of a machine follows an exponential probability distribution with a mean of 14 minutes. a.What is the probability that the part can be assembled in 7 minutes or less? b.What is the probability that the part can be assembled between 3.5 and 7 minutes?

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow

A continuous random variable may assume

When using Excel's EXPON.DIST function, one should choose TRUE for the third input if

Exhibit 6-7 -Refer to Exhibit 6-7. The mean of x is

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take exactly 50 minutes is

For a continuous random variable x, the probability density function f(x) represents

Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-1. The probability that x will take on a value between 21 and 25 is

There is a lower limit but no upper limit for a random variable that follows the

A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams. Determine the mean and the standard deviation.

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product between 7 to 9 minutes is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

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Exam 6: Continuous Probability Distributions

The mean, median, and mode have the same value for which of the following probability distributions?

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take longer than 60 minutes is

Z is a standard normal random variable. What is the value of z if the area between -z and z is 0.754?

The time required to assemble a part of a machine follows an exponential probability distribution with a mean of 14 minutes. a.What is the probability that the part can be assembled in 7 minutes or less? b.What is the probability that the part can be assembled between 3.5 and 7 minutes?

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow

A continuous random variable may assume

When using Excel's EXPON.DIST function, one should choose TRUE for the third input if

Exhibit 6-7 -Refer to Exhibit 6-7. The mean of x is

Exhibit 6-2 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-2. The probability that her trip will take exactly 50 minutes is

For a continuous random variable x, the probability density function f(x) represents

Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-1. The probability that x will take on a value between 21 and 25 is

There is a lower limit but no upper limit for a random variable that follows the

A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams. Determine the mean and the standard deviation.

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product between 7 to 9 minutes is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters