Rework problem 22 in section 4.2 of your text, involving the flipping of a weighted coin. Assume that the coin is weighted so that Pr[H]=7/12Pr[H]=7/12, and that the coin is flipped until a head appears, or 3 consecutive tails appear. The random variable X is defined to be the total number of flips of the coin. How many different values are possible for the random variable X? -3 different values are possible for the random variable X.  Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order.

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Chapter1: Combinatorial Analysis
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Rework problem 22 in section 4.2 of your text, involving the flipping of a weighted coin. Assume that the coin is weighted so that Pr[H]=7/12Pr[H]=7/12, and that the coin is flipped until a head appears, or 3 consecutive tails appear. The random variable X is defined to be the total number of flips of the coin.

How many different values are possible for the random variable X?

-3 different values are possible for the random variable X. 

Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order.

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