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| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 6 Days Ago |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider an unlimited sequence of independent trials resulting in success with probability p, failure with probability q. For s = 1, 2, . . . f = 1, 2, . . calculate the probability that s successes in a row occur before f failures in a row. [Hint: Let A be the event in question, Pi = P(A| first trial a success), and P0 = (A | first trial a failure). Given the first trial is a success, for A to occur, either the next s – 1 trials must be successes, or the first failure must come at the tih trial for some 2 < t="">< s="" then="" subsequently="" the="" event="" a="" must="" occure="" strting="" from="" a="" failure.="" this="" gives="" one="" equation="" relating="">1 to P0 find another by conditioning on the first trial being a failure, then solve for P0 and P1,
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