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 tails in each outcome. For example, if the outcome is hht, then R (hht) 1. Suppose that the random variable Xis%3Ddefined in terms of R as follows: X= R-2R-4. The values of X are thus: 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.