For assessment

You roll two fair standard dice and record the num-

bers showing. Let T be the random variable \the sum of the two

numbers rolled" and D be the random variable \the absolute value of

the dierence between the two numbers rolled".

(a) Find the probability mass function of T.

(b) Find the expectation of T.

(c) Find the probability mass function of D.

(d) Find the expectation D