Biology 2244A/B Chapter Notes - Chapter 12: Binomial Coefficient, Sampling Distribution, Random Variable
11 Oct 2016
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Chapter 12: pages 289 298 (all sections except 12. 6 12. 8) 1 there are a fixed number n of observations. That is, knowing the result of one observation does not change the probabilities we assign to other observations. 3 each observation falls into one of just two categories, which for convenience we call (cid:281)success(cid:282) and (cid:281)failure. (cid:282) 4 the probability of a success, call it p, is the same for each observation. The possible values of x are the whole numbers from 0 to n. 12. 2 binomial distributions in statistical sampling the binomial distributions are important in statistics when we wish to make inferences about the proportion p of (cid:281)successes(cid:282) in a population. Sampling distribution of a count: choose an srs of size n from a population with proportion p of successes. When the population is much larger than the sample, the count x of successes in the sample has approximately the binomial distribution with parameters n and p.
