Consider an example of n nonhomogeneous Bernoulli trials where a failure canoccur on

Chapter 1, Problem 10

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Consider an example of n nonhomogeneous Bernoulli trials where a failure canoccur on each trial independently, with a probability 1 ei for the ith trial[KOVA 2000]. Prove that over n trials,(a) P(no failure occurs) = e[n(n+1)/2].(b) P(no more than one failure occurs) = e[n(n+1)/2]ee(n+1)1e n + 1

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