Regard as dice that are tetrahedral in shape with the corners of each die labeled with the numbers 1,2,3,4. While a pair of these die are tossed let the random variable associated with each outcome be the products of the two numbers at the top of the dice if the product is odd otherwise x=0.
a. Setup a sample Space table together with the associated value of the random variable x.
b. Find out the probability associated with each different value of Xi, i.e. p(xi).
c. Calculate the average value of X. i.e. < x > = Sum Xi P(Xi)
d. Calculate the variance.
e. Evaluate the Standard deviation