For a freshman taking introductory statistics and majoring in psychology, let X equal the students ACT mathematics score and Y the students ACT verbal score. Assume that X and Y have a bivariate normal distribution with X = 22.7, 2 X = 17.64, Y = 22.7, 2 Y = 12.25, and = 0.78. (a) Find P(18.5 < Y < 25.5). (b) Find E(Y | x). (c) Find Var(Y | x). (d) Find P(18.5 < Y < 25.5 | X = 23). (e) Find P(18.5 < Y < 25.5 | X = 25). (f) For x = 21, 23, and 25, draw a graph of z = h(y | x) similar to Figure 4.5-1.

Statistics for Business and Economics The Science of Statistics Collecting, classifying, summarizing, organizing, analyzing and interpreting numerical and categorical information. Sampling: A process of selecting data from larger sets of data whose characteristics we wish to estimate. Statistics: -Describing sets of data -Drawing conclusions about sets of data on sampling basis Descriptive...