STA 2023 Lecture Notes - Lecture 13: Sickle-Cell Disease, Random Variable, Probability Distribution

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Random variable a rule that assigns one and only one numerical value to each sample point of an experiment. Let x = # of women among ten newly hired employees (lowest number is 0, highest number is 10) Continuous: can assume any number in an interval. Probability distribution: lists all values of the variable along with the probability of each value occurring (in order). Requirements: 0 p(x) 1 for all values of x, p(x) = 1. Let x = # in 3 that acquired sickle cell anemia. Mean (expected value): = e(x) = x p(x) 2 = (x - )2p(x) or 2 = [ x2p(x)] - 2. = 48/46 = = 0. 75 = e(x) ***no rounding, eve(cid:374) though (cid:455)ou (cid:272)a(cid:374)"t have 0. 75 of a child. ***mean and variance are not usually the same number. x p(x) . 1: find the mean of x and the mean of y.

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