STAT 3460 Study Guide - Midterm Guide: Probability Mass Function, Bernoulli Trial, Central Limit Theorem

• School: Ohio State University
• Department: Statistics
• Course: STAT 3460
• Professor: Chenggong Han, Laura Kubatko, Min Ho Cho, Yuan Gao

Document Summary

Bernoulli trial: an experiment in which there are only two possible outcomes; one labeled success , the other labeled failure normal if the plot is a straight line, the data sets are approximately. The probability of success is denoted by p. Binomial distribuion: the distribuion of the number of successes in a series of bernoulli trials. Assume that a series of n bernoulli trials is conducted, each with the same success probability p. assume further that the trials are independent. Let the random variable x equal the number of successes in these n trials. Then x is said to have the binomial distribuion with parameters n and p (x ~ Probability mass funcion of a binomial random variable. If x ~ bin(n,p), the probability mass funcion of x is p(x) = p(x = x) = n x x (1 p) n! p x! (n x)! The mean and variance of a binomial random variable.