The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 47 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( 57 b. What is the distribution of ? - N(57 3.2090 08 c. For a single randomly selected movie, find the probability that this movie's production cost is between 53 and 55 million dollars. ✓, 22 d. For the group of 47 movies, find the probability that the average production cost is between 53 and 55 million dollars.

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