The average production cost for major movies is 58 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 46 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 ofXX?XX~ N(,)

B. What is the distribution ofxx?xx~ N(,)

C. For a single randomly selected movie, what isthe probability that this movie's production cost is between 53 and 57 million dollars.

D. For the group of 46 movies, what is the probability that the average production cost is between 53 and 57 million dollars.