STAT 2040 Study Guide - Final Guide: F-Distribution, Failure Rate, Type I And Type Ii Errors

• School: University of Guelph
• Department: Statistics
• Course: STAT 2040
• Professor: Humphries

Document Summary

Random variable: takes on a numerical value according to some sort of chance process. Discrete variables: can take on a countable number (finite, countable infinite) of possible values. Continuous variables: set of possible values is an interval. Probability distribution: a listing of all the possible values of random variable x and their probabilities of occurring. This could be represented in a table, a histogram, or a formula. 0 p(x) 1 (for all x) Expected value: the theoretical mean of the random variable, or in other words, the mean of its probability distribution. E(x) = xp(x) = (the population mean) = 2 (average distance2 from the true mean ( )) The binomial distribution: each trial has 2 possible outcomes: success (what we are counting) and failure. There are x number of successes in n independent trials (sampling with replacement). Probability (constant) of success = p, probability of failure = q = 1 p.