Consider the following probability mass function for X, where x = 0, 1, 2: p(0)=(1−α)2 p(1)=2α(1−α) p(2)=α

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Consider the following probability mass function for X, where x= 0, 1, 2: p(0)=(1−α)2        p(1)=2α(1−α)        p(2)=α2 Developthe moment generating function for X, where α is a constant and 0< α < 1. Using the moment generating function only, determinethe mean of X.
a.α
b.2α
c.2(1−α)
d.α/2