About 60% of all Americans have a sedentary lifestyle.

Chapter 5, Problem 11E

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QUESTION:

Problem 11E

About 60% of all Americans have a sedentary lifestyle. Select n = 96 Americans at random. (Assume independence.) What is the probability that between 50 and 60, inclusive, do not exercise regularly?

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QUESTION:

Problem 11E

About 60% of all Americans have a sedentary lifestyle. Select n = 96 Americans at random. (Assume independence.) What is the probability that between 50 and 60, inclusive, do not exercise regularly?

ANSWER:

Step 1 of 4

Given:

The number of successes among a fixed number of trials follows a binomial distribution. The binomial distribution can be approximated by the normal distribution by the central limit theorem.

The mean of a binomial distribution is the product of the sample size  and the probability .

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