Are the trials independent? For each of the following situations, identify the trials as independent or not. Explain your answers. (a) You record the outside temperature in your town at noon on Groundhog Day, February 2, each year for the next 5 years. (b) The number of tweets that you receive on the next 10 Mondays. (c) Your grades in the five courses that you are taking this semester

Week 7: Probability Distributions 18 October 2016 Basic Statistics for Research Professor HK Dong Wendy Liu Baye’s Rule – given k mutually exclusive & exhaustive events such that and an observed event A, then Permits revising old probabilities based on new info o Prior probability – associated w/ B andbefore we know status of A and o Posterior probability – updated probability of B Application of conditional probability Mutually exclusive events Intro to probability distributions Random variable – represents a possible numerical outcome from an uncertain event Probability distribution – list of the distinct numerical values of discrete random variable X alo