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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Solved: Mental Illness According to the Department of

Chapter 10, Problem 19AYU

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QUESTION:

Mental Illness      According to the Department of Health and Human Services, 30% of 18- to 25-year-olds have some form of mental illness.

(a) What is the probability two randomly selected 18- to 25-year-olds have some form of mental illness?

(b) What is the probability six randomly selected 18- to 25-year-olds have some form of mental illness?

(c) What is the probability at least one of six randomly selected 18- to 25-year-olds has some form of mental illness?

(d) Would it be unusual that among four randomly selected 18-to 25-year-olds, none has some form of mental illness?

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QUESTION:

Mental Illness      According to the Department of Health and Human Services, 30% of 18- to 25-year-olds have some form of mental illness.

(a) What is the probability two randomly selected 18- to 25-year-olds have some form of mental illness?

(b) What is the probability six randomly selected 18- to 25-year-olds have some form of mental illness?

(c) What is the probability at least one of six randomly selected 18- to 25-year-olds has some form of mental illness?

(d) Would it be unusual that among four randomly selected 18-to 25-year-olds, none has some form of mental illness?

ANSWER:

Problem 19AYU

Answer:

Step1:

We have According to the Department of Health and Human Services, 30% of 18- to 25-year-olds have some form of mental illness.

a).

P(two of two have mental illness) = P(one have mental illness)*P(one have mental illness)

                                                   = 0.30*0.30

                                                   = 0.09.

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