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An ordinary fair coin is tossed 3 times. Outcomes are thus triples of heads and tails which we write hth, ttt, etc. for each outcome

An ordinary fair coin is tossed 3 times. Outcomes are thus triples of heads and tails which we write hth, ttt, etc. for each outcome let N be the random variable counting the number of heads in each outcome. For example if the outcome is tht then N (tht) = 1. Supposed that the random variable X is defined in terms of N as follows: X=2N^2-4N-1. The values of X are given in the table. Outcome hht thh tth tht htt ttt hth hhh Values of X -1 -1 -3 -3 -3 -1 -1 5 Calculate the probabilities P (X=x) of the probability distribution of X. First fill in the first row with values of X. Then fill in the appropriate probabilities in the second row

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