a. What is the distribution of X? X - N 59 19 b. What is the distribution of I? - N 59. 7.7567 c. For a single randomly selected movie, find the probability that this movie's production cost is between 56 and 59 million dollars. 0.0627

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The average production cost for major movies is 59 million dollars and the standard deviation is 19 million
dollars. Assume the production cost distribution is normal. Suppose that 6 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(59
b. What is the distribution of ? - N 59.
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 56 and 59 million dollars. 0.0627
19
7.7567
d. For the group of 6 movies, find the probability that the average production cost is between 56 and 59
million dollars. 0.1517
e. For part d), is the assumption of normal necessary? Yes No
Transcribed Image Text:The average production cost for major movies is 59 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 6 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(59 b. What is the distribution of ? - N 59. c. For a single randomly selected movie, find the probability that this movie's production cost is between 56 and 59 million dollars. 0.0627 19 7.7567 d. For the group of 6 movies, find the probability that the average production cost is between 56 and 59 million dollars. 0.1517 e. For part d), is the assumption of normal necessary? Yes No
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