QMS 102 Chapter Notes - Chapter 6: Random Variable, Binomial Distribution, Croatian Radiotelevision

• School: Ryerson University
• Department: Quantitative Methods
• Course: QMS 102
• Professor: Erik Jensen

Document Summary

Multiple each possible outcome (x) by its corresponding prob & sum them. Binomial distribution: mathematical model mathematical expression repping variable of interest. Experiment consists of n repetitions (trials) or sample of n items selected from large pop. Each trial results in 1 of 2 outcomes success (outcome of interest) or failure or each item will possess certain char (success) or not (failure). Pro(cid:271) of su(cid:272)(cid:272)ess o(cid:374) ea(cid:272)h trial/sele(cid:272)tio(cid:374) = (cid:272)o(cid:374)sta(cid:374)t & give(cid:374) sy(cid:373)(cid:271)ol & pro(cid:271) of failure = (1- (cid:895) implies trials independent. Binomial probability distribution function: mathematical model mathematical expression repping variable of interest. (cid:4666)=(cid:4667)= (cid:4666) (cid:4667), (cid:4666)(cid:883) (cid:4667) n = # of trials/sample size. = pro(cid:271) of success in each trial. When tossing coin 6 times, find prob of 2 heads. (cid:4666) (cid:4667): (cid:4666)(cid:883) (cid:4667) = When tossing coin 6 times, find prob of 2 heads. = (cid:882). (cid:882)(cid:882)(cid:882)(cid:886) + (cid:882). (cid:882)(cid:882)(cid:882)(cid:887)(cid:887) + (cid:882). (cid:882)(cid:882)(cid:885)(cid:887)(cid:883) = (cid:882). (cid:882)(cid:882)(cid:886)(cid:883)