The average production cost for major movies is 58 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 40 randomly...

The average production cost for major movies is 58 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 40 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible.

b. What is the distribution of ¯x? ¯x ~ N(
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c. For a single randomly selected movie, find the probability that this movie's production cost is between 59 and 61 million dollars.
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d. For the group of 40 movies, find the probability that the average production cost is between 59 and 61 million dollars.
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