Biology 2244A/B Lecture Notes - Lecture 6: Random Variable, Statistical Parameter
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The binomial setting: there are a fixed number n of observations, the n observations are all independent. The count x of successes in the binomial setting has the binomial distribution withparameters n and p. the parameter n is the number of observations, and p is the probability of a success on any one observation. The possible values of x are the whole numbers from. Pay attention to the binomial setting, because not all counts have binomial distributions. If each individual in a population is equally likely to be sampled, then p(randomly selected individual has characteristic of interest) = population proportion having characteristics of interest. We call this proportion of the population with the characteristic of interest/chance of success, p. After taking a srs of a random size, n, we count the number of individuals with the characteristic of interest, x. x has an approximate binomial distribution because of the following reasons: