Question 1

A normal distribution with a mean of 0 and a standard deviation of 1 is called

Accepted Answer

A)  a probability density function. 
B)  uniform probability distribution. 
C)  a standard normal distribution. 
D)  exponential probability distribution. 
A)  a probability density function. 
B)  uniform probability distribution. 
C)  a standard normal distribution. 
D)  exponential probability distribution.

Question 2

The uniform distribution defined over the interval from 25 to 40 has the probability density function

Accepted Answer

A)  f(x) = 1/40 for all x. 
B)  f(x) = 5/8 for 25  $\lt$ x  $\lt$ 40 and f(x) = 0 elsewhere. 
C)  f(x) = 1/25 for 0 < x < 25 and f(x) = 1/40 for 26  $\lt$x  $\lt$ 40. 
D)  f(x) = 1/15 for 25 < x $\lt$40 and f(x) = 0 elsewhere. 
A)  f(x) = 1/40 for all x. 
B)  f(x) = 5/8 for 25  $\lt$ x  $\lt$ 40 and f(x) = 0 elsewhere. 
C)  f(x) = 1/25 for 0 < x < 25 and f(x) = 1/40 for 26  $\lt$x  $\lt$ 40. 
D)  f(x) = 1/15 for 25 < x $\lt$40 and f(x) = 0 elsewhere.

Question 3

The assembly time for a product is uniformly distributed between 2 to 10 minutes. The probability of assembling the product in less than 6 minutes is

Accepted Answer

A)  0. 
B)  0.50. 
C)  0.25. 
D)  1. 
A)  0. 
B)  0.50. 
C)  0.25. 
D)  1.

Question 4

A normal probability distribution

Accepted Answer

A)  is a continuous probability distribution. 
B)  is a discrete probability distribution. 
C)  can be either continuous or discrete. 
D)  must have a standard deviation of 1. 
A)  is a continuous probability distribution. 
B)  is a discrete probability distribution. 
C)  can be either continuous or discrete. 
D)  must have a standard deviation of 1.

Question 5

Which of the following is a characteristic of the standard normal probability distribution?

Accepted Answer

A)  The mean, median, and the mode are not equal 
B)  The distribution is not symmetrical 
C)  The standard deviation must be 0 
D)  The standard deviation must be 1 
A)  The mean, median, and the mode are not equal 
B)  The distribution is not symmetrical 
C)  The standard deviation must be 0 
D)  The standard deviation must be 1

Question 6

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?

Accepted Answer

A)  70.39 
B)  67.39 
C)  50.39 
D)  65.39 
A)  70.39 
B)  67.39 
C)  50.39 
D)  65.39

Question 7

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 8

The weekly earnings of bus drivers are normally distributed with a mean of $395. If only 1.1 percent of the bus drivers have a weekly income of more than $429.35, what is the value of the standard deviation of the weekly earnings of the bus drivers?

Accepted Answer

Standard D

Question 9

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow a(n) _____ probability distribution.

Accepted Answer

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

Question 10

For a standard normal distribution, the probability of obtaining a z value between -1.6 to 1.8 is

Accepted Answer

A)  0.9093. 
B)  0.0907. 
C)  0.0189. 
D)  0.9811. 
A)  0.9093. 
B)  0.0907. 
C)  0.0189. 
D)  0.9811.

Question 11

Which of the following probability distributions have the same value for mean, median, and mode​?

Accepted Answer

A)  Uniform 
B)  Normal 
C)  ​Exponential 
D)  ​Poisson 
A)  Uniform 
B)  Normal 
C)  ​Exponential 
D)  ​Poisson

Question 12

Larger values of the standard deviation result in a normal curve that is

Accepted Answer

A)  skewed to the right. 
B)  skewed to the left. 
C)  narrower and more peaked. 
D)  wider and flatter. 
A)  skewed to the right. 
B)  skewed to the left. 
C)  narrower and more peaked. 
D)  wider and flatter.

Question 13

For a standard normal distribution, the probability of z   0 is

Accepted Answer

A)  0. 
B)  -0.5. 
C)  0.5. 
D)  1. 
A)  0. 
B)  -0.5. 
C)  0.5. 
D)  1.

Question 14

x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is

Accepted Answer

A)  0.000. 
B)  0.0055. 
C)  0.4945. 
D)  0.9945. 
A)  0.000. 
B)  0.0055. 
C)  0.4945. 
D)  0.9945.

Question 15

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The expected assembly time (in minutes) is

Accepted Answer

A)  16. 
B)  2. 
C)  8. 
D)  4. 
A)  16. 
B)  2. 
C)  8. 
D)  4.

Question 16

A standard normal distribution is a normal distribution with

Accepted Answer

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

Question 17

Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.9582?

Accepted Answer

A)  -1.7 
B)  1.7 
C)  0.7 
D)  -0.7 
A)  -1.7 
B)  1.7 
C)  0.7 
D)  -0.7

Question 18

A value of 0.5 that is added to and/or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution is called

Accepted Answer

A)  probability density factor. 
B)  continuity correction factor. 
C)  factor of conversion. 
D)  continuity approximation factor. 
A)  probability density factor. 
B)  continuity correction factor. 
C)  factor of conversion. 
D)  continuity approximation factor.

Question 19

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 20

The Globe Fishery packs shrimp that weigh more than 1.91 ounces each in packages marked" large" and shrimp that weigh less than 0.47 ounces each into packages marked "small"; the remainder are packed in "medium" size packages. If a day's catch showed that 19.77 percent of the shrimp were large and 6.06 percent were small, determine the mean and the standard deviation for the shrimp weights. Assume that the shrimps' weights are normally distributed.

Accepted Answer

Mean = 1.4

A normal distribution with a mean of 0 and a standard deviation of 1 is called

The uniform distribution defined over the interval from 25 to 40 has the probability density function

The assembly time for a product is uniformly distributed between 2 to 10 minutes. The probability of assembling the product in less than 6 minutes is

A normal probability distribution

Which of the following is a characteristic of the standard normal probability distribution?

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?

An exponential probability distribution

The weekly earnings of bus drivers are normally distributed with a mean of $395. If only 1.1 percent of the bus drivers have a weekly income of more than $429.35, what is the value of the standard deviation of the weekly earnings of the bus drivers?

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow a(n) _____ probability distribution.

For a standard normal distribution, the probability of obtaining a z value between -1.6 to 1.8 is

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

Larger values of the standard deviation result in a normal curve that is

For a standard normal distribution, the probability of z 0 is

x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The expected assembly time (in minutes) is

A standard normal distribution is a normal distribution with

Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.9582?

A value of 0.5 that is added to and/or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution is called

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, Tests 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

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Exam 6: Continuous Probability Distributions

A normal distribution with a mean of 0 and a standard deviation of 1 is called

The uniform distribution defined over the interval from 25 to 40 has the probability density function

The assembly time for a product is uniformly distributed between 2 to 10 minutes. The probability of assembling the product in less than 6 minutes is

A normal probability distribution

Which of the following is a characteristic of the standard normal probability distribution?

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?

An exponential probability distribution

The weekly earnings of bus drivers are normally distributed with a mean of $395. If only 1.1 percent of the bus drivers have a weekly income of more than $429.35, what is the value of the standard deviation of the weekly earnings of the bus drivers?

If arrivals follow a Poisson probability distribution, the time between successive arrivals must follow a(n) _____ probability distribution.

For a standard normal distribution, the probability of obtaining a z value between -1.6 to 1.8 is

Which of the following probability distributions have the same value for mean, median, and mode​?

Larger values of the standard deviation result in a normal curve that is

For a standard normal distribution, the probability of z 0 is

x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The expected assembly time (in minutes) is

A standard normal distribution is a normal distribution with

Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.9582?

A value of 0.5 that is added to and/or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution is called

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, Tests 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

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

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