Question

In: Statistics and Probability

According to a Pew Research study from March, 2016, 28% of all adult Americans have read...

According to a Pew Research study from March, 2016, 28% of all adult Americans have read an e-book in the last 12 months. Assume that 28% of all adult Americans have read an e-book in the last 12 months. A random sample of 75 adult Americans is selected. Let the random variable X represent the number of adult Americans, out of the 75, who have read an e-book in the last 12 months.

a. Use the Binomial Formula to find the probability that exactly 25 of the 75 adult Americans will have read an e-book in the last 12 months.

b. Compute the mean of this distribution and state what it represents.

c. Use the normal approximation for X to find the probability that more than 20 of the 75 adult Americans will have read an e-book in the last 12 months.

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