The average production cost for major movies is 63 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 8 randomly selected...

The average production cost for major movies is 63 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 8 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(
?   ,    ?   )

c. For a single randomly selected movie, find the probability that this movie's production cost is between 60 and 66 million dollars.
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d. For the group of 8 movies, find the probability that the average production cost is between 60 and 66 million dollars.   ?