What is the distribution of XX?      XX ~ N(   ,   ) What is the distribution of ¯xx¯?   ¯xx¯ ~ N(   ,   ) For a single randomly selected movie, find the probability that this movie's production cost is between 54 and 58 million dollars.

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 59 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 36 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.

  1. What is the distribution of XX?      XX ~ N(   ,   )
  2. What is the distribution of ¯xx¯?   ¯xx¯ ~ N(   ,   )
  3. For a single randomly selected movie, find the probability that this movie's production cost is between 54 and 58 million dollars. 
  4. For the group of 36 movies, find the probability that the average production cost is between 54 and 58 million dollars. 
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 36 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 ? a - N(
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 54 and 58 million dollars.
d. For the group of 36 movies, find the probability that the average production cost is between 54 and
58 million dollars.
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 36 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 ? a - N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 54 and 58 million dollars. d. For the group of 36 movies, find the probability that the average production cost is between 54 and 58 million dollars.
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