STAT 1000Q Lecture Notes - Lecture 7: Alltrials, Random Variable, Sample Space

• School: UConn
• Department: Statistics
• Course: STAT 1000Q
• Professor: Zhanna Pozdnyakova

Document Summary

A random variable is a function (rule), such that to each outcome from a sample space assigns a numerical value. Two types of random variables: discrete random variable, continuous random variable. X = # of heads that turn up. *look on separate sheet for probability distribution table of x. Random variable can assume an values such as x1, x2, x3,xn. P(xn) = 1 , of all xi p(xi) = 1. 0 p(xi) 1, fn all xi. E (x) = of all xi = (x1)(px1) + (x2)p(x2) + . (xn)p(xn) Var (x) = of all xi (x1 - e(x))2: p(x1) + (x2 - e(x))2, p(x2) + *look on separate sheet for expected value, variance, and standard deviation example. Counts the number of successes in n" trial of binomial experiment. X n b (n,p) n = number of trials p = probability of success.