Biased Bernoulli Process
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Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55. What is the probability that the better team will win the World Series? Treat the games as tosses of a biased coin. Express the event "the better team wins" in terms of elementary Bernoulli events, and then compute the probability. How long must a series of games be in order to be reasonably certain (with 95% probability) that the best team will win?
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Biased Bernoulli Process is examined.
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Bernoulli trials relate to the probability for an event to occur at least M times out of N trials.
If the probability of this event to occur in one trial is p, the probability for it to occur at least M times out of N ...
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