Let X denote the height in centimeters and Y the weight in kilograms of male college students. Assume that X and Y have a bivariate normal distribution with parameters X = 185, 2 X = 100, Y = 84, 2 Y = 64, and = 3/5.(a) Determine the conditional distribution of Y, given that X = 190. (b) Find P(86.4 < Y < 95.36 | X = 190).

STAT 2004 WEEK 5 A bar plot is used to summarize categorical variables. PROBABILITY The proportion of times an outcome would occur if repeated infinitely many times. Sample space- Represents possible outcomes. Law of Large Numbers- As the number of trials increases, the estimate goes closer to the true probability. In other words, as a sample size increases. A statistic gets closer to the parameter it is estimating. Example problem one: Find P(7) (probability of rolling a 7) with two fair independent dice. o How can a 7 be rolled S (sample space)= {(1,6) or (2,5) or (3,4) or (6,1) or (5,2) or (4,3)} o Mutually exclusive/disjoint- Cannot both happen to