(An urn contains y $1 bills and one $50 bill. Let the random variable A be th amount that results when two bills are drawn from the urwithout replacement. (b) Find the mean and variance of the amount drawn from the urn in Proble (An urn contains 9 $1 bills and one $50 bill. Let the random variable X be th Solution: amount that results when two bills are drawn from the urwith replacement.) (a) EX] = 2. '10) + 51 . '10 = 11.8 E[X2] = 4. (10) + 512 . = 523.4 VAR[X] = E[X ] - E[X]' = 384.16 (b) EX] =- 2. 0.92 + 51 . 2 . 0.9 . 0.1 + 100 . 0.1 . 0.1 = 11.8 E[X2] = 4. 0.92 + 512 . 2 . 0.9 . 0.1 + 100' . 0.1 . 0.1 = 57142 VAR[X] = E[X2] - E[X]? = 432.18