The moment-generating function of a random variable X is given byM(t) = 0.2 +0.4e5t +0.1e20t +0.3e¹0t(a) Find the pmf of X.(b) Find the values of E(X+3) and o² for X.(c) Calculate P(X ≥ 2).(d) Compute E(2X + 1), using a calculator or R to help with the calculations.

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 75E

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The moment-generating function of a random variable X is given by M(t) = 0.2 +0.4e5t +0.1e20t +0.3e¹⁰t (a) Find the pmf of X. (b) Find the values of E(X+3) and o² for X.