CIVE 302 Study Guide - Quiz Guide: Binomial Distribution, Geometric Distribution, Bernoulli Trial
10 Feb 2020
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Problem 1: it is reasonable to assume that the light bulbs perform independently. If x is the number of bulbs functioning more than three months (success), it has a binomial distribution with 20 and the answer to the first question is thus given by. Problem 2: for this problem, we have a geometric distribution and need to evaluate for px(k) for k=5 and p=0. 2. Thus, which may seem much smaller than what we experience in similar situations. Problem 3: let x be the number of defective transistors in 100. Since n is large and p is small in this case, the poisson approximation is appropriate and we obtain, Problem 4: in this case, n=1000, and p=1/500=0. 002, and the poisson approximation is appropriate. The examples above demonstrate that the poisson distribution finds applications in problems where the probability of an event occurring is small. For this reason, it is often referred to as the distribution of rare events.
