BIOL 528 Lecture Notes - Lecture 2: Binomial Distribution

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9 Feb 2017
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Probability: the chance that a particular event will occur in an uncertain world. Division: p=s/n (the # of ways an event can occur divided by the total number of events that may occur) Subtraction: q=1 p (the probability of an event not occurring is equal to one minus the probability of that event occurring ) Multipli(cid:272)atio(cid:374) (cid:894)(cid:862)a(cid:374)d(cid:863)(cid:895): p(cid:894)a a(cid:374)d b(cid:895) = p(cid:894)a(cid:895) * p(cid:894)b(cid:895) (cid:894)the pro(cid:271)a(cid:271)ility that i(cid:374)depe(cid:374)de(cid:374)t e(cid:448)e(cid:374)ts (cid:449)ill occur simultaneously (event a and event b will both occur) is the product of the probabilities that the events will occur individually. Additio(cid:374) (cid:894)(cid:862)or(cid:863)(cid:895): p(cid:894)a or b(cid:895) = p(cid:894)a(cid:895) + p(cid:894)b(cid:895) (cid:894)the pro(cid:271)a(cid:271)ility of at least (cid:1005) or (cid:1006) (cid:373)ore alt. out(cid:272)o(cid:373)es (cid:449)ill occur is the sum of the individual outcomes will occur) When two events are not mutually exclusive or the probability that at least 1 of 2 alternative outcomes will occur is the sum of the probability of each event the probability of occurance:

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