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  3. 4 linda and christa will play a series of games...

Question: 4 linda and christa will play a series of games...

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4) Linda and Christa will play a series of games in checkers until Christa wins 4 games. Each game is independent of the other games and the probability that Christa will win a game over Linda is 0.4. Let Y be the number of games that will be needed in order for Christa to win 4 games.

a. What is the probability density function of Y ?
b. Find the expected value of Y .
c. Find the probability that the number of games that will be played is at most half the expected value of Y .

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