The average production cost for major movies is 69 million dollars and the standard deviation is 18 million dollars. Assume the production cost distribution is normal. Suppose that 8 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. 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 64 and 70 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
icon
Related questions
Question

The average production cost for major movies is 69 million dollars and the standard deviation is 18 million dollars. Assume the production cost distribution is normal. Suppose that 8 randomly selected major movies are researched. Answer the following questions. 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 64 and 70 million dollars. 
  4. For the group of 8 movies, find the probability that the average production cost is between 64 and 70 million dollars. 
  5. For part d), is the assumption of normal necessary?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill