Let x be random variable with the following probability

Assignment Help Basic Statistics

let X be random variable with the following probability distribution

X 0 1 2 3 4

f(x) 1/16 1/4 3/8 1/4 A

a) Find and plot the cumulative distribution function (CDF), F(x).

b) Evaluate the mean and the variance of the random variable x.

c) Find P(x=2) using CDF in (a)

d) if another random variable Y= X^2 + 1 is formed, find the mean E[Y].

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