Problem
A random variable X is de?ned as the di?erence between the higher value and the lowervalue when two dice are thrown. If they have the same value, X is zero.
a.) Find the probability distribution for X.
b.) Calculate the expected value of X
c.) Calculate E(X^2)
d.) Calculate the population variance and the standard deviation of X.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.