The average production cost for major movies is 65 million dollars and the standard deviation is 19 millia dollars. Assume the production cost distribution is normal. Suppose that 43 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO 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 59 and 62 million dollars.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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The average production cost for major movies is 65 million dollars and the standard deviation is 19 million
dollars. Assume the production cost distribution is normal. Suppose that 43 randomly selected major
movies are researched. Answer the following questions. Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X - NO
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 59 and 62 million dollars.
d. For the group of 43 movies, find the probability that the average production cost is between 59 and
62 million dollars.
e. For part d), is the assumption of normal necessary? O No Yes
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Transcribed Image Text:The average production cost for major movies is 65 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 43 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO 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 59 and 62 million dollars. d. For the group of 43 movies, find the probability that the average production cost is between 59 and 62 million dollars. e. For part d), is the assumption of normal necessary? O No Yes Question Help: Written Example Message instructor Submit Question a
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