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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Driving under the Influence Among 21- to 25-year-olds, 29%

Chapter 5, Problem 27E

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QUESTION:

Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds are selected at random.

Source: U.S. Department of Health and Human Services, reported in USA Today

(a) What is the probability that all three have driven while under the influence of alcohol?

(b) What is the probability that at least one has not driven while under the influence of alcohol?

(c) What is the probability that none of the three has driven while under the influence of alcohol?

(d) What is the probability that at least one has driven while under the influence of alcohol?

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QUESTION:

Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds are selected at random.

Source: U.S. Department of Health and Human Services, reported in USA Today

(a) What is the probability that all three have driven while under the influence of alcohol?

(b) What is the probability that at least one has not driven while under the influence of alcohol?

(c) What is the probability that none of the three has driven while under the influence of alcohol?

(d) What is the probability that at least one has driven while under the influence of alcohol?

ANSWER:

Step 1 of 3

Among 21 - 25-year-olds drivers, 29% say they have driven while under the influence of alcohol.

Three 21-25-year-olds are selected at random.

We have to find the following probabilities.

(a) All three have driven while under the influence of alcohol.

(b) At least one has not driven while under the influence of alcohol.

(c) None of the three has driven while under the influence of alcohol.

(d) At least one has driven while under the influence of alcohol.

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