Question 1

For the standard normal probability distribution, the area to the right of the mean is

Accepted Answer

A) more than, 1 since the normal distribution has an upper bound of infinity 
B) 3.09 
C) 1.96 
D) 0.5 
A) more than, 1 since the normal distribution has an upper bound of infinity 
B) 3.09 
C) 1.96 
D) 0.5

Question 2

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 3

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) the area under the curve to the right of x 
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) the area under the curve to the right of x 
D) the height of the function at x

Question 4

Twenty percent of the employees of a large company are female. Use the normal approximation of the binomial probabilities to answer the following questions. What is the probability that in a random sample of 80 employees
a.exactly 16 will be female?
b.14 or more will be female?
c.15 or fewer will be female?
d.18 or more will be female
e.exactly 17 will be female?

Accepted Answer

a.0.1114
b

Question 5

For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is

Accepted Answer

A) 0.9267 
B) 0.4267 
C) 1.4267 
D) 0.5000 
A) 0.9267 
B) 0.4267 
C) 1.4267 
D) 0.5000

Question 6

A standard normal distribution is a normal distribution

Accepted Answer

A) with a mean of 1 and a standard deviation of 0 
B) with a mean of 0 and a standard deviation of 1 
C) with any mean and a standard deviation of 1 
D) with any mean and any standard deviation 
A) with a mean of 1 and a standard deviation of 0 
B) with a mean of 0 and a standard deviation of 1 
C) with any mean and a standard deviation of 1 
D) with any mean and any standard deviation

Question 7

Exhibit 6-5
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 6-5. The probability that she will finish her trip in 80 minutes or less is

Accepted Answer

A) 0.02 
B) 0.8 
C) 0.2 
D) 1.00 
A) 0.02 
B) 0.8 
C) 0.2 
D) 1.00

Question 8

The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months.
a.What is the probability that a randomly selected watch will be in working condition for more than five years?
b.The company has a three-year warranty period on their watches. What percentage of their watches will be in operating condition after the warranty period?
c.What is the minimum and the maximum life expectancy of the middle 95% of the watches?
d.Ninety-five percent of the watches will have a life expectancy of at least how many months?

Accepted Answer

a.0.0668
b.93.32%
c.

Question 9

Which of the following is not a characteristic of the normal probability distribution?

Accepted Answer

A) symmetry 
B) The total area under the curve is always equal to 1. 
C) 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean 
D) The mean is equal to the median, which is also equal to the mode. 
A) symmetry 
B) The total area under the curve is always equal to 1. 
C) 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean 
D) The mean is equal to the median, which is also equal to the mode.

Question 10

For a standard normal distribution, determine the probabilities of obtaining the following z values. It is helpful to draw a normal distribution for each case and show the corresponding area.
a.Greater than zero
b.Between -2.4 and -2.0
c.Less than 1.6
d.Between -1.9 to 1.7
e.Between 1.5 and 1.75

Accepted Answer

a.0.5
b.0.

Question 11

Given that Z is a standard normal random variable. What is the value of Z if the area to the left of Z is 0.9382?

Accepted Answer

A) 1.8 
B) 1.54 
C) 2.1 
D) 1.77 
A) 1.8 
B) 1.54 
C) 2.1 
D) 1.77

Question 12

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 13

The exponential probability distribution is used with

Accepted Answer

A) a discrete random variable 
B) a continuous random variable 
C) any probability distribution with an exponential term 
D) an approximation of the binomial probability distribution 
A) a discrete random variable 
B) a continuous random variable 
C) any probability distribution with an exponential term 
D) an approximation of the binomial probability distribution

Question 14

Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large university are absent on Mondays. If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?

Accepted Answer

A) 0.0683 
B) 0.0213 
C) 0.0021 
D) 0.1329 
A) 0.0683 
B) 0.0213 
C) 0.0021 
D) 0.1329

Question 15

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) = 1.000 for 9

Question 16

In grading eggs into small, medium, and large, the Nancy 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 = 3.0

Question 17

For a standard normal distribution, determine the probability of obtaining a Z value of
a.greater than zero.
b.between -2.34 to -2.55
c.less than 1.86.
d.between -1.95 to 2.7.
e.between 1.5 to 2.75.

Accepted Answer

a.0.5000
b

Question 18

When a continuous probability distribution is used to approximate a discrete probability distribution, a value of 0.5 is

Accepted Answer

A) added and/or subtracted from the area 
B) added and/or subtracted from the value of x 
C) added to the area 
D) subtracted from the area 
A) added and/or subtracted from the area 
B) added and/or subtracted from the value of x 
C) added to the area 
D) subtracted from the area

Question 19

An exponential probability distribution

Accepted Answer

A) is a continuous distribution 
B) is a discrete distribution 
C) can be either continuous or discrete 
D) must be normally distributed 
A) is a continuous distribution 
B) is a discrete distribution 
C) can be either continuous or discrete 
D) must be normally distributed

Question 20

Which of the following is not a characteristic of the normal probability distribution?

Accepted Answer

A) The mean, median, and the mode are equal 
B) The mean of the distribution can be negative, zero, or positive 
C) The distribution is symmetrical 
D) The standard deviation must be 1 
A) The mean, median, and the mode are equal 
B) The mean of the distribution can be negative, zero, or positive 
C) The distribution is symmetrical 
D) The standard deviation must be 1

For the standard normal probability distribution, the area to the right of the mean is

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

For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is

A standard normal distribution is a normal distribution

Exhibit 6-5 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 6-5. The probability that she will finish her trip in 80 minutes or less is

Which of the following is not a characteristic of the normal probability distribution?

For a standard normal distribution, determine the probabilities of obtaining the following z values. It is helpful to draw a normal distribution for each case and show the corresponding area. a.Greater than zero b.Between -2.4 and -2.0 c.Less than 1.6 d.Between -1.9 to 1.7 e.Between 1.5 and 1.75

Given that Z is a standard normal random variable. What is the value of Z if the area to the left of Z is 0.9382?

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?

The exponential probability distribution is used with

Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large university are absent on Mondays. If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?

For a standard normal distribution, determine the probability of obtaining a Z value of a.greater than zero. b.between -2.34 to -2.55 c.less than 1.86. d.between -1.95 to 2.7. e.between 1.5 to 2.75.

When a continuous probability distribution is used to approximate a discrete probability distribution, a value of 0.5 is

An exponential probability distribution

Which of the following is not a characteristic of the normal probability distribution?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

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Exam 6: Continuous Probability Distributions

For the standard normal probability distribution, the area to the right of the mean is

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

For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is

A standard normal distribution is a normal distribution

Exhibit 6-5 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 6-5. The probability that she will finish her trip in 80 minutes or less is

Which of the following is not a characteristic of the normal probability distribution?

For a standard normal distribution, determine the probabilities of obtaining the following z values. It is helpful to draw a normal distribution for each case and show the corresponding area. a.Greater than zero b.Between -2.4 and -2.0 c.Less than 1.6 d.Between -1.9 to 1.7 e.Between 1.5 and 1.75

Given that Z is a standard normal random variable. What is the value of Z if the area to the left of Z is 0.9382?

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?

The exponential probability distribution is used with

Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large university are absent on Mondays. If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?

For a standard normal distribution, determine the probability of obtaining a Z value of a.greater than zero. b.between -2.34 to -2.55 c.less than 1.86. d.between -1.95 to 2.7. e.between 1.5 to 2.75.

When a continuous probability distribution is used to approximate a discrete probability distribution, a value of 0.5 is

An exponential probability distribution

Which of the following is not a characteristic of the normal probability distribution?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters