The average production cost for majormovies is 57 million dollars and the standarddeviation is 23 million dollars. Assume theproduction cost distribution is normal.Suppose that 35 randomly selected majormovies are researched. Answer the followingquestions. Give your answers in millions ofdollars, not dollars. Round all answers to 4decimal places where possible.a. What is the distribution of X? X - N(b. What is the distribution of x? x ~ N(c. For a single randomly selected movie,find the probability that this movie'sproduction cost is between 56 and 61million dollars.d. For the group of 35 movies, find theprobability that the averageproduction cost is between 56 and 61million dollars.e. For part d), is the assumption ofnormal necessary? Yes No

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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 57 million dollars and the standar deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 35 randomly selected major movies are researched. Answer the followin questions. Give your answers in millions of