STA 2023 Lecture Notes - Lecture 12: Sickle-Cell Disease, Random Variable, Probability Distribution
Document Summary
Ex. number of siblings, number of women hired. Probability distribution: lists all values of the variable along with the probability of each value occurring. Characteristics: n identical trials, only 2 outcomes -- success (s) and failure (f) Experiments where only two possible responses exist (success/failure: probability of s remains constant. P(f) = 1 - p = q: trials are independent, the binomial random variable x is the number of s"s in n trials. Without replacement: not 10 identical trials, 2 outcomes -- heart, not heart, p, q do not remain constant, not independent, x is not . Ex . let x = number of children in 3 that get sickle cell anemia. is x a binomial random variable: 3 identical trials, only 2 outcomes -- get sca or don"t, p = , q = . To find binomial random variable probabilities: use methods from ch. 3, use binomial point probability distribution.
