STAT 2507 Lecture Notes - Lecture 5: Poisson Distribution, Cumulative Distribution Function, Standard Deviation

• School: Carleton University
• Department: Statistics
• Course: STAT 2507
• Professor: Zahra Montazeri

Document Summary

A binomial experiment is one that has these ve characteristics: the experiment consists of n identical trials, each trial results in one of two outcomes. When the sample came from a large population, the probability of success p stayed about the same from trial to trial. Rule of thumb: if the sample size is large relative to the population size- in particular, if n/n > 0. 05- then the resulting experiment is not binomial. (cid:7) the binomial probability distribution. A binomial experiment consists of n identical trials with probability of success p on each trial. The probability of k successes in n trials is. P (x = k) = c n k pkqn k = n! k! (n k)! pk(1 p)n k (cid:7) mean and standard deviation for the binomial probability distribution. The random variable x, the number of successes in n trials, has a probability distribution with. Example: a marksman hits a target 80% of the time.