# Nonstandard Normal Distribution

Nonstandard Normal Distribution

1) A gambler claimed that he had loaded a die so that it would hardly ever come up 1. He said the outcomes of 1, 2, 3, 4, 5, 6 would have probabilities 1/20, 1/6, 1/6, 1/6, 1/6, 1/6 respectively. Can he do what he claimed? Why or why not? Is a probability distribution described by listing the outcomes along with their corresponding probabilities? Why or why not?

Chapter 6:

1) Explain how a nonstandard normal distribution differs from the standard normal distribution. Describe the process for finding probabilities for nonstandard normal distributions.

2) The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. What are the values of the mean and standard deviation after all test scores have been standardized by converting them to z scores using z = (x – μ)/σ

A) The mean is 0 and the standard deviation is 1.

B) The mean is 10 and the standard deviation is 100.

C) The mean is 1 and the standard deviation is 0.

D) The mean is 100 and the standard deviation is 10.

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