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

###### Question details

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 .