Question 1

What is the probability that x is between 3 and 6, given the function below
 f(x) =(1/10) e-x/10 x $\geq$ 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 B

Question 2

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. D

Question 3

Given that z is a standard normal random variable, what is the probability that -2.51 $\leq$ z $\leq$ -1.53?

Accepted Answer

A)  0.4950 
B)  0.4370 
C)  0.0570 
D)  0.9310 
A)  0.4950 
B)  0.4370 
C)  0.0570 
D)  0.9310 C

Question 4

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 5

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 6

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 percentage of tires will have a life of 34,000 to 46,000 miles?

Accepted Answer

A)  38.49% 
B)  76.98% 
C)  50% 
D)  88.49% 
A)  38.49% 
B)  76.98% 
C)  50% 
D)  88.49%

Question 7

The center of a normal curve is

Accepted Answer

A)  always equal to zero. 
B)  is the mean of the distribution. 
C)  cannot be negative. 
D)  is the standard deviation. 
A)  always equal to zero. 
B)  is the mean of the distribution. 
C)  cannot be negative. 
D)  is the standard deviation.

Question 8

For a normal distribution, a positive value of z indicates that

Accepted Answer

A)  all the observations must have had positive values. 
B)  the area corresponding to the z is either positive or negative. 
C)  the sample mean is smaller than the population mean. 
D)  the sample mean is larger than the population mean. 
A)  all the observations must have had positive values. 
B)  the area corresponding to the z is either positive or negative. 
C)  the sample mean is smaller than the population mean. 
D)  the sample mean is larger than the population mean.

Question 9

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.9834?

Accepted Answer

A)  0.4834 
B)  -2.13 
C)  +2.13 
D)  0 
A)  0.4834 
B)  -2.13 
C)  +2.13 
D)  0

Question 10

z is a standard normal random variable.The P (-1.20 $\leq$ z $\leq$ 1.50) equals

Accepted Answer

A)  0.0483 
B)  0.3849 
C)  0.4332 
D)  0.8181 
A)  0.0483 
B)  0.3849 
C)  0.4332 
D)  0.8181

Question 11

For a normal distribution, a negative value of z indicates

Accepted Answer

A)  a mistake has been made in computations, because z is always positive. 
B)  the area corresponding to the z is negative. 
C)  the z is to the left of the mean. 
D)  the z is to the right of the mean. 
A)  a mistake has been made in computations, because z is always positive. 
B)  the area corresponding to the z is negative. 
C)  the z is to the left of the mean. 
D)  the z is to the right of the mean.

Question 12

x is a normally distributed random variable with a mean of 8 and a standard deviation of 4.The probability that x is between 1.48 and 15.56 is

Accepted Answer

A)  0.0222 
B)  0.4190 
C)  0.5222 
D)  0.9190 
A)  0.0222 
B)  0.4190 
C)  0.5222 
D)  0.9190

Question 13

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 14

The standard deviation of a normal distribution

Accepted Answer

A)  is always 0. 
B)  is always 1. 
C)  can be any value. 
D)  cannot be negative. 
A)  is always 0. 
B)  is always 1. 
C)  can be any value. 
D)  cannot be negative.

Question 15

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 16

Given that z is a standard normal random variable, what is the probability that -2.08 $\leq$ z $\leq$ 1.46?

Accepted Answer

A)  0.9091 
B)  0.4812 
C)  0.4279 
D)  0.0533 
A)  0.9091 
B)  0.4812 
C)  0.4279 
D)  0.0533

Question 17

The standard deviation of a standard normal distribution

Accepted Answer

A)  is always equal to zero. 
B)  is always equal to one. 
C)  can be any positive value. 
D)  can be any value. 
A)  is always equal to zero. 
B)  is always equal to one. 
C)  can be any positive value. 
D)  can be any value.

Question 18

For a standard normal distribution, the probability of z $\leq$ 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 19

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 30,000 miles?

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 20

For a uniform probability density function,

Accepted Answer

A)  the height of the function cannot be larger than one. 
B)  the height of the function is the same for each value of x. 
C)  the height of the function is different for various values of x. 
D)  the height of the function decreases as x increases. 
A)  the height of the function cannot be larger than one. 
B)  the height of the function is the same for each value of x. 
C)  the height of the function is different for various values of x. 
D)  the height of the function decreases as x increases.

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

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

Given that z is a standard normal random variable, what is the probability that -2.51 $\leq$ z $\leq$ -1.53?

An exponential probability distribution

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

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 percentage of tires will have a life of 34,000 to 46,000 miles?

The center of a normal curve is

For a normal distribution, a positive value of z indicates that

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.9834?

z is a standard normal random variable.The P (-1.20 $\leq$ z $\leq$ 1.50) equals

For a normal distribution, a negative value of z indicates

x is a normally distributed random variable with a mean of 8 and a standard deviation of 4.The probability that x is between 1.48 and 15.56 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 standard deviation of a normal distribution

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 probability that -2.08 $\leq$ z $\leq$ 1.46?

The standard deviation of a standard normal distribution

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

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 30,000 miles?

For a uniform probability density function,

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

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

Filters

Exam 6: Continuous Probability Distributions

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

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

Given that z is a standard normal random variable, what is the probability that -2.51 ≤\leq≤ z ≤\leq≤ -1.53?

An exponential probability distribution

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

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 percentage of tires will have a life of 34,000 to 46,000 miles?

The center of a normal curve is

For a normal distribution, a positive value of z indicates that

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.9834?

z is a standard normal random variable.The P (-1.20 ≤\leq≤ z ≤\leq≤ 1.50) equals

For a normal distribution, a negative value of z indicates

x is a normally distributed random variable with a mean of 8 and a standard deviation of 4.The probability that x is between 1.48 and 15.56 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 standard deviation of a normal distribution

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 probability that -2.08 ≤\leq≤ z ≤\leq≤ 1.46?

The standard deviation of a standard normal distribution

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

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 30,000 miles?

For a uniform probability density function,

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

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

Filters

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

Given that z is a standard normal random variable, what is the probability that -2.51 $\leq$ z $\leq$ -1.53?

z is a standard normal random variable.The P (-1.20 $\leq$ z $\leq$ 1.50) equals

Given that z is a standard normal random variable, what is the probability that -2.08 $\leq$ z $\leq$ 1.46?

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