Let D = {apple, orange, pear} and be the set of all functions from D to {1, 2, 3}. Define a probability P on by

Let D = {apple, orange, pear} and 2 be the set of all functions from D to {1, 2,3}. Define a probability P on ? by P({f}) = maxTED f(x) 72 for every f : D - {1, 2,3 }. The numerator here is the maximum among f(apple), f(orange) and f(pear). Define a random variable X on ? by X(f) = f(apple) + f(orange). Compute the expectation of X