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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, ttt, etc.

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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, ttt, etc. For each outcome, let v be the random variable counting the number of tails in each outcome. For example, if the outcome is hht, then N (hht)=1. Suppose that the random variable x is defined in terms of N as follows: X=2N-2N-1. The values of x are given in the table below. Outcome ttt hth thh hhh htt hht tht tth Value of X11 -1-1 -1 3 -1 3 3 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. Value X of X 0008 E

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