Biology 2244A/B Chapter Notes - Chapter 4: Binomial Distribution, Random Variable

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Random variable: variable (typically represented by x) that has a single numerical value, determined by chance, for each outcome of a procedure. Probability histogram: similar to relative frequency histogram uses probabilities on vertical axis. Requirements for a probability distribution: p(x) = 1, 0 p(x) 1. Sum of all probabilities must be 1. Probability value must be between 0 and 1 inclusive. Unusually high small (such as 0. 05 or less) Unusually low small (such as 0. 05 or less: x successes among n trials is an unusually low number of successes if p(x or fewer) is very. Expected value: of a discrete random variable is denoted by e, represents the average value of the outocmes. S and f (success and failure) denote two possible categories of all outcomes. P(f) = 1 p (p = probability of success) (q = probability of failure) Denotes a specific number of successes in n trials. Can be any whole number between 0 and n inclusive.

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