An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth,

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An Ordinary Fair Coin Is Tossed 3 Times Outcomes Are Thus Triples Of Heads H And Tails T Which We Write Hth 1 (24.89 KiB) Viewed 10 times

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 N be the random variable counting the number of tails in each outcome. For example, if the outcome is khh, then N (hhh)-0. Suppose that the random variable X is defined in terms of N as follows: X-4N-2N²-3. The values of X are given in the table below. Outcome ttt hhh htt tth hth thh hht the Value of X-9 -3 -3 -3 -1 -1 -1 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. Valuex of X P(X=x) 0 0 0 0 0 pla 8 X ?