A player rolls two dice. The player receives $1 for each dot on the face of two dice. For example, he will be paid $9 if the face of the dice show a 4 and a five. let X= the number of dollars won each game.
a) is X a discrete or continuous random variable?
b) Show the probability distribution of X.
c) Find the expected value of X
d) Find the Variance of the payoff.
Neat and step-by-step solution is provided for the question.