Consider a sequence of independent Bernoulli trials with p=0.25. (a) What is the expected number of trials to obtain the 1st success? (b) After the 8th success occurs, what is the expected number of trials to obtain the 9th success?
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25. The expected number of trials to obtain the 1st success in a Bernoulli trial with probability of success p is given by the formula E(X) = 1/p. In this case, p = 0.25, so E(X) = 1/0.25 = 4. Show more…
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