A stock solution of hydrochloric acid (HCl) supplied by a certain vendor contains small amounts of several impurities, including copper and nickel. Let Xdenote the amount of copper and let Y denote the amount of nickel, in parts per ten million, in a randomly selected bottle of solution. Assume that the joint probability density function of X and Y is given by
a. Find the value of the constant c so that f(x,y) is a joint density function.
b. Compute the marginal density function 
.
c. Compute the conditional density function 
.
d. Compute the conditional expectation E(Y | X=0.4).
e. Are X and Y independent? Explain.
(a)
(b)
(c)
(d)
(e)
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