Jenny is a big fan of music from the 1980s, and 18% of the songs on her iTunes list are Bruce Springsteen songs. Suppose Jenny sets her iTunes to “shuffle,” so that it selects songs randomly. During a long drive, Jenny plays 60 randomly‑selected songs. a. What are the mean and standard deviation of the sampling distribution of p hat, the proportion of the 60 randomly selected songs that are Bruce Springsteen songs? (2.5 points) b. Explain why it is reasonable to use a Normal distribution to approximate the sampling distribution of p hat in this setting. (2.5 points) c. Use Normal approximation to calculate the probability that more than 26% of the 60 randomly selected songs are Bruce Springsteen songs. (4 points)
