a We observe a sequence of independent identical trials with two possible outcomes on
Chapter 3, Problem 3.101(choose chapter or problem)
a We observe a sequence of independent identical trials with two possible outcomes on each trial, S and F, and with P(S) = p. The number of the trial on which we observe the fifth success, Y , has a negative binomial distribution with parameters r = 5 and p. Suppose that we observe the fifth success on the eleventh trial. Find the value of p that maximizes P(Y = 11). b Generalize the result from part (a) to find the value of p that maximizes P(Y = y0) when Y has a negative binomial distribution with parameters r (known) and p.
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