Question 1

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

Question 2

Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.0119?

Accepted Answer

A)  -1.26 
B)  1.26 
C)  -2.26 
D)  2.26 
A)  -1.26 
B)  1.26 
C)  -2.26 
D)  2.26

Question 3

A normal probability distribution

Accepted Answer

A)  can have mean of any numerical value. 
B)  needs to have a mean of 0. 
C)  has a standard deviation of 0. 
D)  must have a standard deviation of 1 and a mean of 0. 
A)  can have mean of any numerical value. 
B)  needs to have a mean of 0. 
C)  has a standard deviation of 0. 
D)  must have a standard deviation of 1 and a mean of 0.

Question 4

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. What is the probability that a randomly selected tire will have a life of at least 52,500 miles?

Accepted Answer

A)  0.0062 
B)  0.9938 
C)  0.0000 
D)  1.0000 
A)  0.0062 
B)  0.9938 
C)  0.0000 
D)  1.0000

Question 5

In a Poisson probability problem, the rate of errors is one every two hours. To find the probability of three defects in four hours,

Accepted Answer

A)  μ = 1, x = 4. 
B)  μ = 2, x = 3. 
C)  μ = 3, x = 2. 
D)  μ = 3, x = 6. 
A)  μ = 1, x = 4. 
B)  μ = 2, x = 3. 
C)  μ = 3, x = 2. 
D)  μ = 3, x = 6.

Question 6

z is a standard normal random variable. The P (-2.20   z   2.20) equals

Accepted Answer

A)  0.9645. 
B)  0.0355. 
C)  0.0278. 
D)  0.9722. 
A)  0.9645. 
B)  0.0355. 
C)  0.0278. 
D)  0.9722.

Question 7

A standard normal distribution is a normal distribution with

Accepted Answer

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

Question 8

A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event is a(n) _____ probability distribution.

Accepted Answer

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

Question 9

An experiment consists of measuring the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is speed, measured in miles per hour. This random variable is a _____ random variable.

Accepted Answer

A)  nominal 
B)  ordinal 
C)  discrete 
D)  continuous 
A)  nominal 
B)  ordinal 
C)  discrete 
D)  continuous

Question 10

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. What is the probability that a randomly selected tire will have a life of at least 35,000 miles?

Accepted Answer

A)  0.1587 
B)  0.8413 
C)  0.0000 
D)  1.0000 
A)  0.1587 
B)  0.8413 
C)  0.0000 
D)  1.0000

Question 11

What is the probability that x is between 3 and 6, given the function below? f(x) = (1/10) e-x/10 x   0

Accepted Answer

A)  0.4512 
B)  0.1920 
C)  0.2592 
D)  0.6065 
A)  0.4512 
B)  0.1920 
C)  0.2592 
D)  0.6065

Question 12

The assembly time for a product is uniformly distributed between 2to 10 minutes. The probability of assembling the product in 4minutes or more is

Accepted Answer

A)  0.25. 
B)  0.75. 
C)  0. 
D)  1. 
A)  0.25. 
B)  0.75. 
C)  0. 
D)  1.

Question 13

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

Accepted Answer

A)  1. 
B)  3.09. 
C)  1.96. 
D)  0.5. 
A)  1. 
B)  3.09. 
C)  1.96. 
D)  0.5.

Question 14

The probability distribution that can be described by just one parameter is the​

Accepted Answer

A)  ​uniform. 
B)  ​normal. 
C)  ​exponential. 
D)  ​binomial. 
A)  ​uniform. 
B)  ​normal. 
C)  ​exponential. 
D)  ​binomial.

Question 15

In a standard normal distribution, the probability that Z is greater than zero is

Accepted Answer

A)  0.5. 
B)  equal to 1. 
C)  at least 0.5. 
D)  1.96. 
A)  0.5. 
B)  equal to 1. 
C)  at least 0.5. 
D)  1.96.

Question 16

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 17

Given that z is a standard normal random variable, what is the value of z if the area between -z and z is 0.7243?

Accepted Answer

A)    3.09 
B)    2.09 
C)    0.09 
D)    1.09 
A)    3.09 
B)    2.09 
C)    0.09 
D)    1.09

Question 18

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000?

Accepted Answer

A)  0.4772 
B)  0.9772 
C)  0.0228 
D)  0.5000 
A)  0.4772 
B)  0.9772 
C)  0.0228 
D)  0.5000

Question 19

In a standard normal distribution, the

Accepted Answer

A)  mean and the standard deviation are both 1. 
B)  mean is 0 and the standard deviation is 1. 
C)  mean is 1 and the standard deviation is 0. 
D)  mean and the standard deviation can have any value. 
A)  mean and the standard deviation are both 1. 
B)  mean is 0 and the standard deviation is 1. 
C)  mean is 1 and the standard deviation is 0. 
D)  mean and the standard deviation can have any value.

Question 20

z is a standard normal random variable. What is the value of z if the area to the right of z is 0.1213?

Accepted Answer

A)  -1.17 
B)  1.17 
C)  -0.17 
D)  0.17 
A)  -1.17 
B)  1.17 
C)  -0.17 
D)  0.17

Exam 6: Continuous Probability Distributions

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

Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.0119?

A normal probability distribution

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. What is the probability that a randomly selected tire will have a life of at least 52,500 miles?

In a Poisson probability problem, the rate of errors is one every two hours. To find the probability of three defects in four hours,

z is a standard normal random variable. The P (-2.20 z 2.20) equals

A standard normal distribution is a normal distribution with

A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event is a(n) _____ probability distribution.

An experiment consists of measuring the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is speed, measured in miles per hour. This random variable is a _____ random variable.

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. What is the probability that a randomly selected tire will have a life of at least 35,000 miles?

What is the probability that x is between 3 and 6, given the function below? f(x) = (1/10) e-x/10 x 0

The assembly time for a product is uniformly distributed between 2to 10 minutes. The probability of assembling the product in 4minutes or more is

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

The probability distribution that can be described by just one parameter is the​

In a standard normal distribution, the probability that Z is greater than zero is

The exponential probability distribution is used with

Given that z is a standard normal random variable, what is the value of z if the area between -z and z is 0.7243?

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000?

In a standard normal distribution, the

z is a standard normal random variable. What is the value of z if the area to the right of z is 0.1213?

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

What is the probability that x is between 3 and 6, given the function below? f(x) = (1/10) e^-^x^/10 x 0

The probability distribution that can be described by just one parameter is the