The amount left over after division is completed is known as the ___________ . (1-6)

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 along with their associated probabilities gives the probability for each value and satisfies: 1. for each value of X 2. Summary measures  Expected value – mean of probability distributions; weighted average of all possible values o  Variance – weighted average of squared deviations about the mean o o ----- alternative formula  Standard deviation – positive square root of variance o Probability Distributions 1. Discrete a. Binomial b. Poisson c. Hypergeometric (we’re not responsible for knowing this type) 2. Continuous a. Normal b. Uniform c. Exponential Binomial probability distribu