Songs on an iPod Refer to Exercise 49.

(a) Explain why you cannot safely calculate the probability that the mean play time x– is more than 4 minutes (240 seconds) for an SRS of 10 songs.

(b) Suppose we take an SRS of 36 songs instead. Explain how the central limit theorem allows us to find the probability that the mean play time is more than 240 seconds.
Then calculate this probability. Show your work.