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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
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 NV be the random variable counting the number of tails in each outcome. For example, if the outcome is the, then N (tht) = 2. Suppose that the random variable X is defined in terms of N as follows: X=2N-2N-4. The values of X are given in the table below. Outcome tth tht hhh ttt hth 1 hht thh hit Value of X - 8 -8 -4 -16 -4 -4 4 8 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 X P(X=x)
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