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 65 and 71 million dollars.

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The average production cost for major movies is 69 million dollars and the standard deviation is 22
million dollars. Assume the production cost distribution is normal. Suppose that 8 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(
b. What is the distribution of ? T - N(
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 65 and 71 million dollars.
d. For the group of 8 movies, find the probability that the average production cost is between 65
and 71 million dollars.
e. For part d), is the assumption of normal necessary? O NoO Yes
Transcribed Image Text:The average production cost for major movies is 69 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 8 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( b. What is the distribution of ? T - N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 65 and 71 million dollars. d. For the group of 8 movies, find the probability that the average production cost is between 65 and 71 million dollars. e. For part d), is the assumption of normal necessary? O NoO Yes
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