b) The two dimensional random variables (P,Q) has a joint density function 1+p+q + cpq c + 3 f(p, q) .e-(p+q), p2 0,4 2 0 where c > 0 is a constant. i. Find the probability P(P < 1) ii. There exists exactly only one value of c in order that P and Q are independer What is such a value?

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