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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of heads (h) and tails (1) which we write hth, tit, etc. For

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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (1) which we write hth, tit, etc. For each outcome, let R be the DO random variable counting the number of tails in each outcome. For example, if the outcome is hit, then R(http =2. Suppose that the random variable X is defined in terms of R as follows: X=R-R -3. The values of X are given in the table below. Outcome ith thh hat hhh hit hth tht itt Value of X -5 -3 -3 -5 -9 Calculate the values of the probability distribution function of Y, i.e. the function py. 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 Px(x) 0 X 5

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