PART C only please, I keep getting different answers. 5 Consider an urn containing 1000 balls. Suppose that the balls are numbered from 1 to 1000 . (a) If we draw 1000 balls, with replacement, what is the approximate probability to observe the ball numbered 1 less than 3 times? [3 marks] (b) Find the expected number of times the ball numbered 1 is observed, when the 1000 picks are with replacement. [4 marks] (c) If we draw 1000 balls, without replacement, what is the probability that the ball numbered 2 is picked before the one numbered 51 ? [3 marks].