The average production cost for major movies is 57 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 48 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. C. For a single randomly selected movie, find the probability that this movie's production cost is between 51 and 54 million dollars.
D. For the group of 48 movies, find the probability that the average production cost is between 51 and 54 million dollars.