The average production cost for major movies is 68 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 41 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( 68 21 b. What is the distribution of ? N( 21 X, 41 c. For a single randomly selected movie, find the probability that this movie's production cost is between 64 and 68 million dollars. 0.0755 d. For the group of 41 movies, find the probability that the average production cost is between 64 and 68 million dollars. 0.3887 e. For part d), is the assumption of normal necessary? O No Yes o
The average production cost for major movies is 68 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 41 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( 68 21 b. What is the distribution of ? N( 21 X, 41 c. For a single randomly selected movie, find the probability that this movie's production cost is between 64 and 68 million dollars. 0.0755 d. For the group of 41 movies, find the probability that the average production cost is between 64 and 68 million dollars. 0.3887 e. For part d), is the assumption of normal necessary? O No Yes o
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The average production cost for major movies is 68 million dollars and the standard deviation is 21 million
dollars. Assume the production cost distribution is normal. Suppose that 41 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( 68
21
b. What is the distribution of ? N( 21
X, 41
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 64 and 68 million dollars. 0.0755
d. For the group of 41 movies, find the probability that the average production cost is between 64 and
68 million dollars. 0.3887
e. For part d), is the assumption of normal necessary? O No Yes o](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb64ed77-0e71-4b8d-9699-28308f43c665%2F9ffb13ed-7783-4e9d-9b0f-c57491b2c011%2Ff3i0s1.jpeg&w=3840&q=75)
Transcribed Image Text:The average production cost for major movies is 68 million dollars and the standard deviation is 21 million
dollars. Assume the production cost distribution is normal. Suppose that 41 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( 68
21
b. What is the distribution of ? N( 21
X, 41
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 64 and 68 million dollars. 0.0755
d. For the group of 41 movies, find the probability that the average production cost is between 64 and
68 million dollars. 0.3887
e. For part d), is the assumption of normal necessary? O No Yes o
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