Two volleyball teams are to play a 2-out-of-3 series, in which they
continue to play until one has won 2 games. Suppose that the home
team wins each game played, independently, with probability 0.7. Let
X denote the number of games played.
(a) What are the possible values of X?
(b) What is the probability distribution of X?
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Let x = number of games played H = Home team wins R=Home team loses (Road team wins) RR (0.3)(0.3) =0.09 RHR (0.3)(0.7)(0.3) =0.063 HRR=0.063 HH - prob =(0.7)(0.7)=0.49 HRH = (0.7)(0.3)(0.7)=0.147 RHH=0.147 For x=2, add the RR & HH
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