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The average production cost for major movies is 60 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 37 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 7? ¤ ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 56 and 59 million dollars. uction cost is between

The average production cost for major movies is 60 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 37 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 7? ¤ ~ N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 56 and 59 million dollars. uction cost is between

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The average production cost for major movies is 60 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 37 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 ¤? ¤ ~ N c. For a single randomly selected movie, find the probability that this movie's production cost is between 56 and 59 million dollars. d. For the group of 37 movies, find the probability that the average production cost is between 56 and 59 million dollars. e. For part d), is the assumption of normal necessary? O No Yes
Transcribed Image Text:The average production cost for major movies is 60 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 37 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 ¤? ¤ ~ N c. For a single randomly selected movie, find the probability that this movie's production cost is between 56 and 59 million dollars. d. For the group of 37 movies, find the probability that the average production cost is between 56 and 59 million dollars. e. For part d), is the assumption of normal necessary? O No Yes
Expert Solution
Step 1

When we substitute mean=0, standard deviation =1 to the probability mass function of the normal distribution, it becomes a standard normal distribution. Here parameters  μ and σ. The total area under the normal curve is one.

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