Assume that X is a discrete random variable with momentgenerating function defined on its domain asM(t) = 0.55e' + 0.45.(a) Describe the probability distribution of X. You should list the nameof the distribution and the associated defining parameter(s) of the distri-bution.5. (b) Show that Var(X) = 0.2475. You may apply a formula presented inlecture for this distribution!(c) Let R(t) be defined asR(t)In(0.55e' +0.45).Show thatA R"(0)Var(X) =0.2475.%3D

a) The moment generating function of Bernoulli random variable is, Mt=pet+q Where, 'p' is the…

Answered: Assume that X is a discrete random…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 10E

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Assume that X is a discrete random variable with moment generating function defined on its domain as M(t) = 0.55e' +0.45. (a) Describe the probability distribution of X. You should list the name of the distribution and the associated defining parameter(s) of the distri- bution. 5.