Suppose that an urn contains 3 different types of balls: red, green and blue. Let P1 denote the proportion of red balls, p2 denote the proportion of green balls and på denote the proportion of blue balls. Here 1P₁ = 1. Suppose also that 100 balls are selected with replacement, and there are exactly 38 red, 29 green and 33 blue. Find the M.L.E. p of pi, i = 1, 2, 3.