The average production cost for major movies is 57 million dollars and the standar deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 35 randomly selected major movies are researched. Answer the followin questions. Give your answers in millions of

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The average production cost for major
movies is 57 million dollars and the standard
deviation is 23 million dollars. Assume the
production cost distribution is normal.
Suppose that 35 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 x? x ~ N(
c. For a single randomly selected movie,
find the probability that this movie's
production cost is between 56 and 61
million dollars.
d. For the group of 35 movies, find the
probability that the average
production cost is between 56 and 61
million dollars.
e. For part d), is the assumption of
normal necessary? Yes No
Transcribed Image Text:The average production cost for major movies is 57 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 35 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 x? x ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 56 and 61 million dollars. d. For the group of 35 movies, find the probability that the average production cost is between 56 and 61 million dollars. e. For part d), is the assumption of normal necessary? Yes No
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