A supplier of kerosene has a weekly demand Y possessing a probability density function given by 0sys1, 1

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A supplier of kerosene has a weekly demand Y possessing a probability density function given by
0 sys1,
1 < ys 1.5,
0,
у,
(y) =
1,
elsewhere,
with measurements in hundreds of gallons. The supplier's profit is given by U = 20Y - 5.
(a) Find the probability density function for U.
SUS 15,
15 < us
%3D
0.
elsewhere
(b) Use the answer to part (a) to find E(U). (Round your answer to three decimal places.)
E(U) =
(c) Find E(U) by the methods of Chapter 4. (Round your answer to three decimal places.)
E(U) =
Transcribed Image Text:A supplier of kerosene has a weekly demand Y possessing a probability density function given by 0 sys1, 1 < ys 1.5, 0, у, (y) = 1, elsewhere, with measurements in hundreds of gallons. The supplier's profit is given by U = 20Y - 5. (a) Find the probability density function for U. SUS 15, 15 < us %3D 0. elsewhere (b) Use the answer to part (a) to find E(U). (Round your answer to three decimal places.) E(U) = (c) Find E(U) by the methods of Chapter 4. (Round your answer to three decimal places.) E(U) =
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