Question

An experiment involves rolling a pair of dice once. Let X represent the sum of the numbers on the upturned faces and Y their absolute difference.

a. Construct the probability distribution of X;

b. Construct the probability distribution of Y; and

c. Construct a probability histogram for each probability distribution obtained in (a) and (b).

Answer 1

a) The following table shows the sum of individual possible outcomes on the dice.

from the table above the probability distribution will be;

b) the table below shows the absolute difference of the two dice(Y)

the probability distribution will be;

c)Histograms