The average production cost for major movies is 58 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 41 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( 58 20 b. What is the distribution of ? - N( 58 c. For a single randomly selected movie, find the probability that this movie's production cost is between 59 and 62 million dollars. d. For the group of 41 movies, find the probability that the average production cost is between 59 and 62 million dollars. e. For part d), is the assumption of normal necessary? O NoO Yes Question Help: Written Example Message instructor Submit Question Jump to Answer

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The average production cost for major movies is 58 million dollars and the standard deviation is 20 million
dollars. Assume the production cost distribution is normal. Suppose that 41 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( 58
20
b. What is the distribution of ? - N( 58
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 59 and 62 million dollars.
d. For the group of 41 movies, find the probability that the average production cost is between 59 and
62 million dollars.
e. For part d), is the assumption of normal necessary? O NoO Yes
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Transcribed Image Text:The average production cost for major movies is 58 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 41 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( 58 20 b. What is the distribution of ? - N( 58 c. For a single randomly selected movie, find the probability that this movie's production cost is between 59 and 62 million dollars. d. For the group of 41 movies, find the probability that the average production cost is between 59 and 62 million dollars. e. For part d), is the assumption of normal necessary? O NoO Yes Question Help: Written Example MMessage instructor Submit Question Jump to Answer
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