The average production cost for major movies is 63 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 50 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 63 b. What is the distribution of ? N 63 c. For a single randomly selected movie, find the probability that this movie's production cost is between 57 and 62 million dollars. d. For the group of 50 movies, find the probability that the average production cost is between 57 and 62 million dollars. e. For part d), is the assumption of normal necessary? No Yes o ✓,23 or or

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The average production cost for major movies is 63 million dollars and the standard deviation is 23 million
dollars. Assume the production cost distribution is normal. Suppose that 50 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(63
b. What is the distribution of ? I ~ N( 63
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 57 and 62 million dollars.
d. For the group of 50 movies, find the probability that the average production cost is between 57 and
62 million dollars.
e. For part d), is the assumption of normal necessary? No Yes
23
or or
Transcribed Image Text:The average production cost for major movies is 63 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 50 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(63 b. What is the distribution of ? I ~ N( 63 c. For a single randomly selected movie, find the probability that this movie's production cost is between 57 and 62 million dollars. d. For the group of 50 movies, find the probability that the average production cost is between 57 and 62 million dollars. e. For part d), is the assumption of normal necessary? No Yes 23 or or
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