4. The amount of time Pete stretches in the morning is uniformly distributed between 30 seconds and 600 seconds. One of Pete's morning stretches is selected at random, and we are interested in the time. a) Define the random variable of interest, X. b) State the distribution of X. c) What is the average amount of time? d) Calculate the probability that it is at most 500 seconds. e) Suppose we know that P(k