Let X be a discrete random variable with the following PMF. Px(k) = 1/4 for k...

Question

Question

Let X be a discrete random variable with the following PMF.

P_x(k) =

1/4 for k = -2

1/8 for k = -1

1/8 for k = 0

1/4 for k = 1

1/4 for k = 2

0 otherwise

Define a new random variable Y = (X + 1)²

a) Find E[X] and Var[X]

b) Find the range of Y and write its PMF.

c) Show that the PMF of Y is a valid PMF.

d) Find P(Y ≤ 5).

math Statistics-And-Probability

Answer 1

Answer #1

Answer 2

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