3. Suppose Y}, 2' = 1, 2, n, are i.i.d. random variables, eaeh distributed N00, 4). (a) Compute P(9.6 g Y g 10.4) when (i) n = 20, (ii) n = 100, and (iii) 5"}. = 1, 000. (b) Suppose c is a positive number. Show that PUDc g i7 S 10+c) becomes close to 1.0 as n grows large. ((3) Use your answer (b) to argue that i7 converges in probability to 10