With reference to Exercise 5.76, find

(a) an expression for \(f_{1}(x \mid y)\) for \(0

(b) an expression for \(f_{1}(x \mid 0.5)\);

(c) the mean of the conditional density of the first random variable when the second takes on the value 0.5 .

Data From Exercise 5.76

5.76 If two random variables have the joint density 6 f(x, y) = 5 0 (x+y) for 0