The average production cost for major movies is +34 million dollars and the standard deviation is 18 million dollars. Assume the production cost distribution is normal. Suppose that 39 randomly.r 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? X ~ \"(CLSJ b. 1Ii'il'hat is the distribution of 57'? {E v N{:],:]} c. For a single randomly selected movie, find the probabilityr that this movie's production cost is between 62 and 6? million dollars. :l d. For the group of 39 movies, find the probability that the average production cost is between 62 and 45]" million dollars. :l e. For part d}, is the assumption of normal necessary? O NDO 'r'es