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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:
g(x)= {3/8 x^2 for 0 <= x <=2
0 otherwise}
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. of Xand Y
b. Pr(X =Y)
c. Pr(X >Y )
d. Pr(X + Y =<1).
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