# Question: If X is the proportion of persons who will respond

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

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 per-cent response to the first kind of mail- order solicitation.

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 per-cent response to the first kind of mail- order solicitation.

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