The average production cost for major movies is 64 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 6 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 64 21 b. What is the distribution of T? I ~ N( 21 X 0 c. For a single randomly selected movie, find the probability that this movie's production cost is between 58 and 60 million dollars. d. For the group of 6 movies, find the probability that the average production cost is between 58 and 60 million dollars. e. For part d), is the assumption of normal necessary? NoO Yes Question Help: B Written Example ) Message instructor Submit