Problem # 2: Suppose that two teams play a series of games that ends when one of them has won 3 games. Suppose that each game played is, independently, won by team A with probability
(9)/(10)
. Let
x
be the number of games that are played. (a) Find
P(x=5)
(b) Find the expected number of games played. Problem #2(a): Problem #2(b): Round your answer to 4 decimals. Round your answer to
2
decimals

Question

Problem # 2: Suppose that two teams play a series of games that ends when one of them has won 3 games. Suppose that each game played is, independently, won by team A with probability

(9)/(10)

. Let

x

be the number of games that are played. (a) Find

P(x=5)

(b) Find the expected number of games played. Problem #2(a): Problem #2(b): Round your answer to 4 decimals. Round your answer to

2

decimals

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