nvolved Y, the proportion of impurities in a batch, and the density function is given by S(1) = {0 S 10(1 – y)°, 0< y < 1, 10, | elsewhere. a) Find the expected percentage of impurities. b) Find the expected value of the proportion of quality material (i.e., find E(1 – Y)).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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4.101 Consider Review Exercise 3.73 on page 108. It
involved Y, the proportion of impurities in a batch,
and the density function is given by
S 10(1 – y)°, 0< y < 1,
10,
f(y) =
elsewhere.
(a) Find the expected percentage of impurities.
(b) Find the expected value of the proportion of quality
material (i.e., find E(1 – Y)).
Transcribed Image Text:4.101 Consider Review Exercise 3.73 on page 108. It involved Y, the proportion of impurities in a batch, and the density function is given by S 10(1 – y)°, 0< y < 1, 10, f(y) = elsewhere. (a) Find the expected percentage of impurities. (b) Find the expected value of the proportion of quality material (i.e., find E(1 – Y)).
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