STA 2023 Study Guide - Midterm Guide: Sickle-Cell Disease, Poisson Distribution, Normal Distribution
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Ex. number of siblings, number of women hired. Probability distribution: lists all values of the variable along with the probability of each value occurring. 1 p(x) for all values of x p(x) The binomial random variable x is the number of s"s in n trials. Where x = 0,1,2,,n p(x) = n!/(n-x)!x! p x q n-x . Ex. find the probability that none of the children get the disease p(0) = 3!/(3-1)!0! ( ) 0 ( ) 3 . N = # of trials , p = prob. of success, q = prob. of failure. Less than 3 => p(x < 3) = p(x 2) = . Where x = 0,1,2,3, and e = 2. 71828 p(x) = . = 1 - p(x 2) = 1 - . 297 = . = 3 1 e -3 /1! = 3e -3 or p(x 1) - p(x = 0) = . 199 - . 050 = . 149.
