Assume that the coin is weighted so that Pr[H]=78Pr[H]=78, and that the coin is flipped until a head appears, or 3 consecutive tails appear. The random variable XX is defined to be the total number of flips of the coin. How many different values are possible for the random variable XX? Fill in the table below to complete the probability density function. Be certain to list the values of XX in ascending order.
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]=78Pr[H]=78, and that the coin is flipped until a head appears, or 3 consecutive tails appear. The random variable XX is defined to be the total number of flips of the coin.
How many different values are possible for the random variable XX?
Fill in the table below to complete the probability density
If the happening/not happening of one event does not affect the happening/not happening of other event, then the events can be termed as independent events.
If A and B are two independent events, then the probability of happening of both the events simultaneously, can be given as .
The tossing of coins are independent events, therefore, the above mentioned concept can be used to calculate the required probabilities.
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