4. A certain admission test, given to prospective graduate applicants, consists of two sections, verbal reasoning and quantitative reasoning. Let 100X and 100Y be the respective verbal and quantitative scores of a randomly selected applicant with an undergraduate 3.0 GPA. Suppose thatX and Y are independent and both have the following probability density function

Find the probability that the total score, 100X + 100Y, of the randomly selected applicant is at least 1300?

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f(x)= 00 0 4 x 8 otherwise.