average production cost for major movies is 59 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 49 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 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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average production cost for major movies is 59 million dollars and the standard deviation is 23 million
dollars. Assume the production cost distribution is normal. Suppose that 49 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 - 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
57 and 62 million dollars.
d. For the group of 49 movies, find the probability that the average production cost is between 57 and 62
million dollars.
e. For, part d), is the assumption of normal necessary? O Yes No
Transcribed Image Text:average production cost for major movies is 59 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 49 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 - 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 57 and 62 million dollars. d. For the group of 49 movies, find the probability that the average production cost is between 57 and 62 million dollars. e. For, part d), is the assumption of normal necessary? O Yes No
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