An ordinary (foir) 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 N be the random variable counting the number
of tails in each outcome. For example, if the outcome is thh, then N (th h)=1. Suppose that the
random variable X is defined in terms of N as follows: X=2N26N4. The values of X are given in
the table below. Calculate the probabilities P(X=x) of the probability distribution of X. First, fill
in the first row with the values of X. Then fill in the appropriate probabilities in the second row.