01:960:285 Lecture Notes - Lecture 12: Nicolaus I Bernoulli, Bernoulli Trial, Binomial Distribution

• School: Rutgers University
• Department: Statistics and Biostatistic
• Course: 01:960:285
• Professor: Zhanyun Zhao

Document Summary

Red denotes success, green denotes failure: draw with replacement: rate of success remains constant, is a binomial experiment, draw without replacement: rate of success changes based on previous drawn marbles, is not a binomial experiment. Say p is the likelihood of a desktop being ordered, and x is the amount of desktops in the next four orders. Standard deviation: = (cid:1868)(cid:1869) (cid:4666)(cid:4667) = (cid:1868)(cid:4666)(cid:4667: cumulative probability. The probability that a random variable i falls within a range, taken by adding up all the probability of all the possibilities that fall under the specified range. For example the cumulative probability of having 3 or less successes in a binomial experiment is p(1)+p(2)+p(3)+p(0: binomial experiments are applicable to actual problems with some modification. You may need to fold multiple categories into one so that there are only two possibilities. Jars of marbles: deck of cards, probability distribution, mean =(cid:1870)/