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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Nick and Penny are independently performing independent Bernoulli trials. For concreteness, assume that Nick is flipping a nickel with probability p1 of Heads and Penny
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(a) Find the distribution and expected value of the first time at which they are simultaneously successful, i.e., the smallest n such that Xn = Yn = 1.
(b) Find the expected time until at least one has a success (including the success).
(c) For p1 = p2, find the probability that their first successes are simultaneous, and use this to find the probability that Nick’s first success precedes Penny’s.
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