SOLUTION: Assume that the coin is weighted so that Pr[H]=57 Pr[H]=5/7, and that the coin is flipped until a head appears, or 4 consecutive tails appear. The random variable X is defined to

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that the coin is weighted so that Pr[H]=57 Pr[H]=5/7, and that the coin is flipped until a head appears, or 4 consecutive tails appear. The random variable X is defined to       Log On


   

Question 1135524: Assume that the coin is weighted so that Pr[H]=57
Pr[H]=5/7, and that the coin is flipped until a head appears, or 4 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?
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
Possibilities are these: H,TH,TTH,TTTH,TTTT

So you will either flip 1 time for T, 2 times for TH, 3 times for TTH,
or 4 times for either TTTH or TTTT.

So the possible number of flips are X = 1,2,3, or 4 times.

Answer: the number of possible different values for X is 4.

Edwin