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 f(y) yf(y) y − E(y) (y − E(y))2 (y − E(y))2f(y) 43 45 48 Var(y) = E(y) = dollars σy = dollars (b) Show the marginal distribution of parts 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 Parts Cost x f(x) xf(x) x − E(x) (x − E(x))2 (x − E(x))2f(x) 85 95 Var(x) = E(x) = dollars σx = dollars (c) Total manufacturing cost per unit is the sum of direct labor cost and parts cost. Show the probability distribution for total manufacturing cost per unit. z = x + y f(z) 128 130 133 138 140 143 Total 1.00 (d) Compute the expected value (in dollars), variance, and standard deviation (in dollars) of total manufacturing cost per unit. (Round your answer for standard deviation to two decimal places.) expected value dollarsvariancestandard deviation dollars

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 f(y) yf(y) y − E(y) (y − E(y))2 (y − E(y))2f(y) 43 45 48 Var(y) = E(y) = dollars σy = dollars (b) Show the marginal distribution of parts 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 Parts Cost x f(x) xf(x) x − E(x) (x − E(x))2 (x − E(x))2f(x) 85 95 Var(x) = E(x) = dollars σx = dollars (c) Total manufacturing cost per unit is the sum of direct labor cost and parts cost. Show the probability distribution for total manufacturing cost per unit. z = x + y f(z) 128 130 133 138 140 143 Total 1.00 (d) Compute the expected value (in dollars), variance, and standard deviation (in dollars) of total manufacturing cost per unit. (Round your answer for standard deviation to two decimal places.) expected value dollarsvariancestandard deviation dollars

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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Can you please show me how to compute c. and d? I am not sure how to do it and where do I get the numbers for the probability distribution for total manufacturing cost per unit.

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

(b)

Show the marginal distribution of parts 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 Parts Cost

x	xf(x)	(x − E(x))²f(x)
85
95
		Var(x) =
	E(x) = dollars	σ_x = dollars

(c)

Total manufacturing cost per unit is the sum of direct labor cost and parts cost. Show the probability distribution for total manufacturing cost per unit.

z = x + y	f(z)
128
130
133
138
140
143
Total	1.00

(d)

Compute the expected value (in dollars), variance, and standard deviation (in dollars) of total manufacturing cost per unit. (Round your answer for standard deviation to two decimal places.)

expected value dollarsvariancestandard deviation dollars

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