The average production cost for major movies is 59
million dollars and the standard deviation is 22 million dollars.
Assume the production cost distribution is normal. Suppose that 14
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.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~
N(,)
For a single randomly selected movie, find the
probability that this movie's production cost is between 58 and 62
million dollars.
For the group of 14 movies, find the probability that
the average production cost is between 58 and 62 million
dollars.
For part d), is the assumption of normal necessary?
YesNo
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