Harry Wilson, a mechanical engineer at Lehigh manufacturing, has found that the anticipated profitability of a newly developed motion detector for its popu- lar home security device product line can be estimated as follows: PW = 40.28W (2X - 11) – 77,860 where W is the number of units produced and sold and X is the sales price per unit. Harry also found that W parameter value could occur anywhere over a range of 1,000 to 6,000 units and the X parameter value anywhere between $20 and $40 per unit. Suppose both W and X are statistically independent continuous random variables with the following means and variances: E[W} = 3,500, V[W] = 2,083,333 %3D E[X] 30, V[X] = 33. What is the variance of PW? (a) 2.2309× 10" (c) 2.769 x 10° (b) 4.4618 × 10" (d) 1.118549 x 1013
Harry Wilson, a mechanical engineer at Lehigh manufacturing, has found that the anticipated profitability of a newly developed motion detector for its popu- lar home security device product line can be estimated as follows: PW = 40.28W (2X - 11) – 77,860 where W is the number of units produced and sold and X is the sales price per unit. Harry also found that W parameter value could occur anywhere over a range of 1,000 to 6,000 units and the X parameter value anywhere between $20 and $40 per unit. Suppose both W and X are statistically independent continuous random variables with the following means and variances: E[W} = 3,500, V[W] = 2,083,333 %3D E[X] 30, V[X] = 33. What is the variance of PW? (a) 2.2309× 10" (c) 2.769 x 10° (b) 4.4618 × 10" (d) 1.118549 x 1013
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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![Harry Wilson, a mechanical engineer at Lehigh manufacturing, has found that
the anticipated profitability of a newly developed motion detector for its popu-
lar home security device product line can be estimated as follows:
PW = 40.28W (2X - 11) – 77,860
where W is the number of units produced and sold and X is the sales price per
unit. Harry also found that W parameter value could occur anywhere over a
range of 1,000 to 6,000 units and the X parameter value anywhere between $20
and $40 per unit.
Suppose both W and X are statistically independent continuous random
variables with the following means and variances:
E[W}
= 3,500, V[W] = 2,083,333
%3D
E[X]
30, V[X] = 33.
What is the variance of PW?
(a) 2.2309× 10"
(c) 2.769 x 10°
(b) 4.4618 × 10"
(d) 1.118549 x 1013](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b7a4bdd-9261-40fd-9e4b-6180d3fcea96%2F6536aae7-7dde-4aa8-9c6f-72b6d9e64997%2Fxgr2sl8i_processed.png&w=3840&q=75)
Transcribed Image Text:Harry Wilson, a mechanical engineer at Lehigh manufacturing, has found that
the anticipated profitability of a newly developed motion detector for its popu-
lar home security device product line can be estimated as follows:
PW = 40.28W (2X - 11) – 77,860
where W is the number of units produced and sold and X is the sales price per
unit. Harry also found that W parameter value could occur anywhere over a
range of 1,000 to 6,000 units and the X parameter value anywhere between $20
and $40 per unit.
Suppose both W and X are statistically independent continuous random
variables with the following means and variances:
E[W}
= 3,500, V[W] = 2,083,333
%3D
E[X]
30, V[X] = 33.
What is the variance of PW?
(a) 2.2309× 10"
(c) 2.769 x 10°
(b) 4.4618 × 10"
(d) 1.118549 x 1013
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