7.Help please

The average production cost for major movies is 59 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 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( b. What is the distribution of ? ~ ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 61 and 65 million dollars. d. For the group of 46 movies, find the probability that the average production cost is between 61 and 65 million dollars. e. For part d), is the assumption of normal necessary? ( Yes No