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

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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 1 (272.71 KiB) Viewed 44 times

An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, itt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is tht, then R(tht) = 2. Suppose that the random variable X is defined in terms of R as follows: X=2R2-2R-3. The values of X are given in the table below. Outcome hhh tit het hth hhttth ththt Value of X-3 9 1 -3 1 - 3 1 Calculate the values of the probability distribution function of X, i.e. the function Pr. 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 6 ? Px O