The average production cost for major movies is 66 million dollars and the standard deviation is 18 million dollars. Assume the production cost distribution is normal. Suppose that 7 randomly selected major movies are researched. Answer the following questions, Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X?XN ( b. What is the distribution of x?xN ( c. For a single randomly selected movie, find the probability that this movie's production cost is between 64 and 68 million dollars. d. For the group of 7 movies, find the probability that the average production cost is between 64 and 68 million dollars. e. For part d), is the assumption of normal necessary? Yes No.