Answered: (a) Show the marginal distribution of…

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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A company has developed a design for a high-quality portable printer. The two key components of manufacturing cost are direct labor and parts. During a testing period, the company has developed prototypes and conducted extensive product tests with the new printer. The company's engineers have developed the bivariate probability distribution shown below for the manufacturing costs. Parts cost (in dollars) per printer is represented by the random variable x and direct labor cost (in dollars) per printer is represented by the random variable y. Management would like to use this probability distribution to estimate manufacturing costs.

Parts (x)	Direct Labor (y)	Total
43	45	48
85	0.2	0.05	0.2	0.45
95	0.25	0.1	0.2	0.55
Total	0.45	0.15	0.4	1.00

(a)

Show the marginal distribution of direct labor cost and compute its expected value (in dollars), variance, and standard deviation (in dollars). (Round your answer for standard deviation to the nearest cent.)

Marginal Distribution of Direct Labor Cost

y	yf(y)	(y − E(y))²f(y)
43
45
48
		Var(y) =
	E(y) = dollars	σ_y = dollars

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