MATH 11 Lecture Notes - Lecture 11: Situation Two, Standard Deviation, Poisson Distribution
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4/28/17 lecture notes (11) ch 16 the binomial model. Assume we conduct a bernoulli trial (with success probability p and failure probability q = 1-p) a total of n times: X = number of successes in n trials probability of that many successes. This is hard because there are so many cases where the one success could occur (s = success, f = failure) The choose symbol helps you calculate how many ways there are to list one s among all those fs. It can also be used to count how many ways you could put two ss among all the fs [and so on] In general, ( ) gives the count of how many ways you can get k successes from n trials. The binomial model says that the probability of getting k successes in n bernoulli trials is p(k) = nckq^n-k p^k.
