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A college gives aptitude tests in the sciences and the humanities to all incoming first year students. If X and Y are the proportions of correct answers on the science and humanities exams, respectively, then the joint pdf of X, Y is given by: 1. otherwise a. Are X and Y independent? Why or why not? b. Find P(X <5.Y <^). What does this probability represent?

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7he pdf of X.Y s given b fir 을-12xy + 3f7 = 흗.lrx+ 욜-o 2 Considet 2S ore nof indypedentthe probability represents 31% students get correct answer of given propoertion

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