Question

Suppose Team B is better than Team A. The probability that Team B beats Team A...

Suppose Team B is better than Team A. The probability that Team B beats Team A in any given game is .6. (a) Suppose a championship is decided by a one game series (e.g., the Super Bowl). What is the probability that Team B wins the championship in a one game series? (b)What is the probability that Team B wins the championship if the championship were decided by the best of 99 games rather than a one game series?

Math   Statistics-And-Probability   
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Answer #1

he probability that Team B beats Team A in any given game is .6.

a)The probability that Team B wins the championship in a one game series is

b)The number of games X out of 99 team B wins has Binomial distribution with .

The PMF of X is .

Team B wins the championship, if it wins at least 45 out of 100 games.

The required probability is

Use R. The command is
> 1-pbinom(44,99,0.6)
[1] 0.9987451

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