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 the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = 0.10, p(1) = 0.30, p(2) = 0.20, p(3) = 0.15, and p(4) = 0.25. (a) Draw the corresponding probability histogram. 0.30 0.30 0.30 0.30 0.25 0,25 0.25 0.25 0.20 0.20 0.20 0.20 A 0.15 A 0.15 2 0.15 A 0.15 0.10 0.10 0.10 0.10 0.05 0.05 0.05 0.05 0.00 0.00 0.00 0.00 1 3 4 1 2 3 4 3 4 1 4 (b) What is the probability that at least two students show up? (No Response) More than two students show up? (No Response) (c) What is the probability that between one and three students, inclusive, show up? (No Response) (x)d
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The cost of all maintenance for a car during its first year is approximately exponentially distributed with a mean of $204. a. The lambda of this distribution is b. The probability that the cost is larger than $238 is P(x > $238) = c. The probability that the cost is less than $76 is P(x s $76) = d. The probability that the cost is between $185 and $244 is P($185 s x < $244) = e. The 61st percentile is cost of maintenance s
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