Let Y1 and Y2 have the joint probability density function given by f (y1, y2) = k(1 y2), 0 y1 y2 1, 0, elsewhere. a Find the value of k that makes this a probability density function. b Find P(Y1 3/4, Y2 1/2).

Statistics 350 Fall 2007 Exam 1 Explanations 1. a. This is an experiment because the treatment groups were randomly assigned. b. Weight loss is a response variable because it is what we wish to study. A response variable cannot also be an explanatory nor confounding variable so neither of these is appropriate. Weight loss is also a (continuous) quantitative variable...