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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of heads (h) and tails (f) which we write hth, ttt, etc.
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 heads in each outcome. For example, if the outcome is tht, then N (tht) = 1. Suppose that the random variable X is defined in terms of N as follows: X=N - 3N-3. The values of X are given in the table below. Outcome hth htt thh hhh tth hht tht Value of X-5-5-5-3-5-5-5 ttt -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 P(X=x)
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