Answered: 2. If X is a random variable taking… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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2. If X is a random variable taking values 0,1,2,.... and P(X) = ab*, where a and b
are positive constants such that a+b= 1, then
(i)
Find mgf.
(ii)
If E(X) = m₁, E(X2) = m2, show that m₂ = m₁(2m₁ + 1).

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