3. The length of an episode of Fun with Flags is normally distributed with a mean of 10.11 minutes and a standard deviation of 3.02 minutes. We select one episode of Fun with Flags at random, and are interested in its length. a) Define the random variable of interest, X. b) State the distribution of X. c) Sketch the density curve, with appropriate labels. d) What is the probability that it is at least 15 minutes? e) What is the probability that it is at most 12 minutes