I can't determine the function of X and value of x.

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 hitt, then R (http =1. Suppose that the random variable X is defined in terms of R as follows: X=2R--6R-1. The values of X are thus: Outcome ttt thh hth httpththhh tth hht Value of X -5 -5 -5 -5 -5 Calculate the probability distribution function of X, i.e. the function py (x). First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X PX (x) X