How long does it take to download a two-hour HD movie from the iTunes store? According to Apple’s technical support site, support.apple.com/en-us/HT201587, downloading such a movie using a 15 Mbit/s broadband connection should take 29–43 minutes. Assume that the download times are uniformly distributed between 29 and 43 minutes. If you download a two-hour movie, what is the probability that the download time will be

a. Less than 30 minutes?

b. More than 36 minutes?

c. Between 30 and 40 minutes?

d. What are the mean and standard deviation of the download times?