Exercise 6. Suppose a random variable has support: {0, 1, 2,4} and its pmf is:X0124f(x) 3/7 2/7 1/7 1/7(a) Calculate an explicit expression for the moment generating function: M(t).(b) Using your moment generating function, calculate E(X²) and E(X), and thereby the variance0².

Let X be a random variable with probability function (probability mass function or probability…

Answered: Exercise 6. Suppose a random variable…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

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Exercise 6. Suppose a random variable has support: {0, 1, 2,4} and its pmf is: X 0 1 2 4 f(x) 3/7 2/7 1/7 1/7 (a) Calculate an explicit expression for the moment generating function: M(t). (b) Using your moment generating function, calculate E(X²) and E(X), and thereby the variance 0².