A coin is tossed 3 times and the number of tails (N) in each outcome is counted. A random variable X is defined as X=N^2/4. The values of X and their probabilities are given in a table, where the probabilities of X need to be calculated based on the outcomes of N.

1. An ordinary (fair) coin is tossed 3 times, Outcomes are thus triples of "heads" (h) and "tails" ( f )
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 hth, then N(hth)=1. Suppose that the
random variable X is defined in terms of N as follows: X=NN24. The values of X are given in
the table below. Calculate the probabilities P(X=x) of the probability distribution of X. First, fil
in the first row with the values of X. Then fill in the appropriate probabilities in the second row.