If X is the proportion of persons who will respond to one kind of mail-order solicitation, Y is the proportion of persons who will respond to another kind of mail-order solicitation, and the joint probability density of X and Y is given by
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find the probabilities that
(a) at least 30 percent will respond to the first kind of mail-order solicitation;
(b) at most 50 percent will respond to the second kind of mail-order solicitation given that there has been a 20 percent response to the first kind of mail-order solicitation.