The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 16 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 of X? X N( 57 20 b. What is the distribution of ? ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 55 and 57 million dollars. d. For the group of 16 movies, find the probability that the average production cost is between 55 and 57 million dollars. e. For part d), is the assumption of normal necessary? No Yes

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this is homework not a quiz!!! I already answered the first one I just need help with the others thank you! 
The average production cost for major movies is 57 million dollars and the standard deviation is 20
million dollars. Assume the production cost distribution is normal. Suppose that 16 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 of X? X ~ N( 57
20
b. What is the distribution of x? ¤ ~ N(
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 55 and 57 million dollars.
d. For the group of 16 movies, find the probability that the average production cost is between
55 and 57 million dollars.
e. For part d), is the assumption of normal necessary? No Yes
Transcribed Image Text:The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 16 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 of X? X ~ N( 57 20 b. What is the distribution of x? ¤ ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 55 and 57 million dollars. d. For the group of 16 movies, find the probability that the average production cost is between 55 and 57 million dollars. e. For part d), is the assumption of normal necessary? No Yes
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