Biology 2244A/B Chapter Notes - Chapter 12: Binomial Coefficient, Standard Deviation, Pertussis

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Chap 12 pp 289-(cid:1006)(cid:1013)(cid:1012) e(cid:454)(cid:272)ept (cid:1005). (cid:862)the (cid:374)or(cid:373)al appro(cid:454)i(cid:373)atio(cid:374) to (cid:271)i(cid:374)o(cid:373)ial distri(cid:271)utio(cid:374)s a(cid:374)d (cid:1006). Understand the four binomial setting requirements and associated vocabulary. Recognize when it might be reasonable to describe a random phenomenon as binomial. The distribution of a count depends on how the data are produced. The binomial setting: there are a fixed number n of observations (attempts, the n observations are all independent. The count x of successes in the binomial setting has the binomial distribution with parameters 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 0 to n. Imagine a doctor overseeing n single-birth deliveries as a binomial setting. If we call a girl a (cid:862)su(cid:272)(cid:272)ess(cid:863) (cid:894)ar(cid:271)itrar(cid:455) (cid:272)hoi(cid:272)e(cid:895), the(cid:374) p is the pro(cid:271)a(cid:271)ilit(cid:455) of a girl a(cid:374)d re(cid:373)ai(cid:374)s the sa(cid:373)e o(cid:448)er all the births overseen by the doctor.

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