An appliance dealer sells three different models of upright freezers having 11.5, 14.9, and 20.1 cubic feet of storage space. Let x = the amount of storage space purchased bythe next customer to buy a freezer. Suppose that x has the following probability distribution.Xp(x)11.5 14.9 20.10.2 0.5 0.3(a) Calculate the mean (in cubic feet) of x.cubic feetCalculate the standard deviation (in cubic feet) of x. (Round your answer to three decimal places.)cubic feet(b) If the price of the freezer depends on the size of the storage space, x, such that Price = 25x8.5, what is the mean price paid (in dollars) by the next customer?$(c) What is the standard deviation of the price paid (in dollars)? (Round your answer to the nearest cent.)$

From the provided information,x11.514.920.1p (x)0.20.50.3

Answered: An appliance dealer sells three…

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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Let X be a random variable that can take the values 5, 9, or 13. And let f(x) be its probability distribution. Find the variance of the random variable X, given that its probability distribution is f(5) = 0.1 f(9) = 0.4 f(13) = 0.5 Round your answer to an integer.
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