In: Statistics and Probability
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.