A random variable Y has probability density function
f(y) = {
cy² =< y =< 2;
cy, 2 < y < 3;
0, elsewhere
}
Find (a) the constant c;
(b) P(Y > 2);
(c) P(1/2 < Y < 3/2);
(d) the cdf of Y;
(e) the mean and variance of Y