The average production cost for major movles is 64 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 12 randomly selected major movles 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( 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 62 and 68 million dollars.

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The average production cost for major movies is 64 million dollars and the standard deviation is 23 million
dollars. Assume the production cost distribution is normal. Suppose that 12 randomly selected major movles
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 X7 X - N(
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 62 and 68 million dollars.
d. For the group of 12 movies, find the probability that the average production cost is between 62 and
68 million dollars.
e. For part d), is the assumption of normal necessary? O YesO No
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Transcribed Image Text:The average production cost for major movies is 64 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 12 randomly selected major movles 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 X7 X - N( 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 62 and 68 million dollars. d. For the group of 12 movies, find the probability that the average production cost is between 62 and 68 million dollars. e. For part d), is the assumption of normal necessary? O YesO No Submit Question
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