Suppose that a random sample of fifty observations are taken from the pdf
fY(y) = 3y2, 0 ≤ y ≤ 1
Let Xi be the number of observations in the interval [0, 1/4), X2 the number in [1/4, 2/4), X3 the number in [2/4, 3/4), and X4 the number in [3/4, 1].
(a) Write a formula for fX1, X2, X3, X4 (3, 7, 15, 25).
(b) Find Var(X3).