(ye-10 f(y) = 0 0 be a constant. i) Find the moment generating function of X = -cy. ii) What is the distribution of X?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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b) A technician discovered that the cumulative distribution function (CDF) of the lifespan of bulb in
years is given by
ye 10
f(y)
0 < y<co
100
0,
elsewhere
Derive the expected value of Y?
c) Suppose that a random variable Y is uniformly distributed on an interval (0,1) and let c> 0 be
a constant.
i) Find the moment generating function of X = -cy.
ii) What is the distribution of X?
=
}
Transcribed Image Text:b) A technician discovered that the cumulative distribution function (CDF) of the lifespan of bulb in years is given by ye 10 f(y) 0 < y<co 100 0, elsewhere Derive the expected value of Y? c) Suppose that a random variable Y is uniformly distributed on an interval (0,1) and let c> 0 be a constant. i) Find the moment generating function of X = -cy. ii) What is the distribution of X? = }
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