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4. The lifetime in hours of a transistor is a random variable having probability function given by f(x)=cxe*; x≥0 a) Find c. b) Compute the generating function of X. Hence, calculate E(X) and write it as an expression of the MacLaurin series.

4. The lifetime in hours of a transistor is a random variable having probability function given by f(x)=cxe*; x≥0 a) Find c. b) Compute the generating function of X. Hence, calculate E(X) and write it as an expression of the MacLaurin series.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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4. The lifetime in hours of a transistor is a random variable having probability function given by f(x) = cxe*; x≥0 a) Find c. b) Compute the generating function of X. Hence, calculate E(X) and write it as an expression of the MacLaurin series.
Transcribed Image Text:4. The lifetime in hours of a transistor is a random variable having probability function given by f(x) = cxe*; x≥0 a) Find c. b) Compute the generating function of X. Hence, calculate E(X) and write it as an expression of the MacLaurin series.
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