Question

An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of heads in each outcome. For example, if the outcome is ttt, then =Rttt0. Suppose that the random variable X is defined in terms of R as follows: =X−R4. The values of X are thus:

Outcome	tth	hth	htt	tht	thh	ttt	hht	hhh
Value of X	−3	−2	−3	−3	−2	−4	−2	−1

Calculate the probability distribution function of X, i.e. the function pXx. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.

Answer 1