Let X be a Geometric random variable with parameter p = 1/4. Find E(4X + 1)² and V(3 + 2X). Two fair dice are rolled. Let X be the maximum of the results of two dice. (a) Probability Mass Function (b) E(X) (c) V(X).

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A: It is an important part of statistics. It is widely used.

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A: x P(x) xP(x) 32 0.07 2.24 34 0.12 4.08 36 0.24 8.64 38 0.25 9.5 40 0.32 12.8 Total…

Q: Let X be a random variable with E(X)= 1 and E[X(X-1)]=4,then evaluate Var(2-3X).

A:

Q: Probability. Don't understand.

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A: Here, Y = X^2 + 1

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A: The generating function of X is :

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A: As per guidelines of Bartleby,we are giving here solution of first 3 parts only.

Q: Let f(x)= cx for 1 3.2).

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A: Solution