QTM 100 Lecture Notes - Lecture 9: Random Variable, Binomial Distribution, Binomial Theorem

• School: Emory University
• Department: Quantitative Theory & Methods
• Course: QTM 100
• Professor: Jacobson Jeremy

Document Summary

Question: scores on the verbal section of the sat have a mean of 500 and a standard deviation of 100. One standard deviation is 2/3 of the data. Divide 1/3 in half to get just the right tail of the data. Binomial distribution: distribution used for dichotomous categorical variables (it has one of two possible outcomes) where the outcomes are denoted as. Whether or not a mosquito dies in the presence of pesticide. Whether or not you answer a question correctly. Binomial formula given n trials, how likely are you to get a success. Add the probabilities because you can only have one scenario at a time. The trials are independent the results for one trial does not depend on the results of other trials. Each trial has two possible outcomes: success or failure Each trial has the same probability of success p. The binomial random variable x is the number of successes in n trials.