1. X is a discrete random variable with the following probability distribution: -2 -1 1 2 1 1 1 1 1 P(X=x) 12 12 Find the mean u and variance o for X. Find and tabulate the probability distribution of...

need help with a) , b) and c)..... NOTE THAT for question a) it's population mean and population variance......the answer for a) is 0 and 7/6

Extracted text: 1. X is a discrete random variable with the following probability distribution: -2 -1 1 2 1 1 1 1 1 P(X=x) 12 12 Find the mean u and variance o for X. Find and tabulate the probability distribution of the sampling means of size 2 taken with replacement from X. Find the mean and variance for the sample means. (a) (b) (c) (d) Hence, verify that E(X) = µ and Var(X): %3D Write down the mean and variance for the sampling means for a size n = 3 taken with replacement from X. (e)