Suppose that in a certain drug the concentration of a particular chemical is a random variable with a continuous distribution for which the p.d.f. g is as follows:

Suppose that the concentrations X and Y of the chemical in two separate batches of the drug are independent random variables for each of which the p.d.f. is g.
Determine
(a) The joint p.d.f. ofXand Y;
(b) Pr(X =Y);
(c) Pr(X >Y);
(d) Pr(X + Y ‰¤ 1).

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r2for0sx2, x g(x)=1 0 otherwise.