i calculated c as 2/3 in (a)

6. Let X be a positive random variable distributed with the pdf f(x) = c max {x, 2 - x} , 0. (a) Calculate c. (b) Calculate the cdf F(x) = P(X 0. (c) Let b > a > 0 be constants such that P(X E [a, b]) = 1/2. Express b in terms of a. [Hint: consider the two cases 0