STATS 67 Lecture Notes - Lecture 4: Probability Mass Function, Probability Density Function, Bernoulli Trial
29 Aug 2016
School
Department
Course
Professor
Document Summary
Ex: number of credits in a summer session. 2) f(x) 0, i and f(xi) 1 x f(x) Example: x = # of holes that can be drilled per bit while drilling into limestone. x. If x is continuous r. v. f(x) = f"(x) Some properties: p() = f(b) - f(a) = Argument outcome of all r. v. "s weighted average of all possible outcomes, Bernoulli: f(x) = p(x = x) { p x=1 } Example: tossing a coin once, shooting one free throw. Number of successes in n independent bernoulli trials f(x)= Binomial trials most satisfy: finite number of trials, trials are independent, two outcomes: success or failure, probability of success remains the same. Y = number of girls (binomial: what is the number of xxx in xxx trials) X = number of bernoulli trials until the first success f(x) = (1-p)x-1 p. Spose we have a bag of 15 black marbles and 35 white marbles.
