In Exercise 5.3, we determined that the joint probability distribution of Y1, the number of married executives, and Y2, the number of never-married executives, is given by p(y1, y2) = 4 y1 3 y2 2 3 y1 y2 9 3 where y1 and y2 are integers, 0 y1 3, 0 y2 3, and 1 y1 + y2 3. a Find the marginal probability distribution of Y1, the number of married executives among the three selected for promotion. b Find P(Y1 = 1|Y2 = 2). c If we let Y3 denote the number of divorced executives among the three selected for promotion, then Y3 = 3 Y1 Y2. Find P(Y3 = 1|Y2 = 1). d Compare the marginal distribution derived in (a) with the hypergeometric distributions with N = 9, n = 3, and r = 4 encountered in Section 3.7. 5.22 I

Statistical Inference: provides methods for drawing conclusions about a population from the sample data. There are two ways to do this: Confidence intervals: used to estimate the value of a population parameter using sample statistics Test of Significance: used for assessing evidence for a claim about the population To set up Have to have an SRS...