Question 1

The relationship between the standard normal random variable z and normal random variable X is that:

Accepted Answer

A) Only the normal random variable X is continuous. 
B) Only the standard normal variable z is continuous. 
C) The standard normal variable z counts the number of standard deviations that the value of the normal random variable X is away from its mean. 
D) The values of the standard normal random variable z cannot be negative. 
E) The values of the normal random variable X cannot be negative.

Question 2

Given that X is a normal random variable,the probability that a given value of X is below its mean is ________________.

Accepted Answer

The answer of Given that X is a normal random...

Question 3

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.
-What is the standard deviation of the water depth?

Accepted Answer

The answer of While conducting experiments, a marine biologist selects...

Question 4

A standard normal distribution has a mean of _____ and standard deviation of _____.

Accepted Answer

A) zero;zero 
B) zero;one 
C) one;one 
D) one;zero 
E) zero;three

Question 5

Suppose the distribution of personality test scores is normally distributed with a mean of 15 and a variance of 25.
-What percentage of the population scores between 10 and 20?

Accepted Answer

The answer of Suppose the distribution of personality test scores...

Question 6

Suppose the distribution of integrity test scores is normally distributed with a mean of 15 and a variance of 25.Using this information,what percentage of the population scores between 10 and 20?

Accepted Answer

A) 53.28% 
B) 59.87% 
C) 49.13% 
D) 50.00% 
E) 68.26%

Question 7

The price of an energy sports drink is normally distributed with an average of $2.25 and a standard deviation of $0.15 across store outlets.
-What is the probability that a randomly selected drink will cost more than $2.50?

Accepted Answer

The answer of The price of an energy sports drink...

Exam 5: Continuous Random Variables

The relationship between the standard normal random variable z and normal random variable X is that:

Given that X is a normal random variable,the probability that a given value of X is below its mean is ________________.

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m. -What is the standard deviation of the water depth?

A standard normal distribution has a mean of _ and standard deviation of _.

Suppose the distribution of personality test scores is normally distributed with a mean of 15 and a variance of 25. -What percentage of the population scores between 10 and 20?

Suppose the distribution of integrity test scores is normally distributed with a mean of 15 and a variance of 25.Using this information,what percentage of the population scores between 10 and 20?

The price of an energy sports drink is normally distributed with an average of $2.25 and a standard deviation of $0.15 across store outlets. -What is the probability that a randomly selected drink will cost more than $2.50?