The 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 14 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 æ? ¤ - N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 53 and 58 million dollars.
The 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 14 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 æ? ¤ - N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 53 and 58 million dollars.
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![The 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 14 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 a? a - N(
c. For a single randomly selected movie, find the probability that this movie's production cost is between
53 and 58 million dollars.
d. For the group of 14 movies, find the probability that the average production cost is between 53 and 58
million dollars.
e. For part d), is the assumption of normal necessary?
Yes No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88d58220-4c99-4038-b9cd-5ff14daeb0cb%2F503d5488-4221-46d0-b5b9-dfe5199e81af%2F7kiu7xl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The 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 14 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 a? a - N(
c. For a single randomly selected movie, find the probability that this movie's production cost is between
53 and 58 million dollars.
d. For the group of 14 movies, find the probability that the average production cost is between 53 and 58
million dollars.
e. For part d), is the assumption of normal necessary?
Yes No
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