Suppose x has a distribution with 11 = 27 and a = 24. la USE SALT (a) If a random sample of size n = 50 is drawn, find pa}, cr ; and P(27 S Q S 29). (Round 0; to two decimal places and the probability to four decimal places.) it; = :l a ; = :l mm\"): (b) If a random sample of size n = 58 is drawn, find p}, a Q and P(27 S E S 29). (Round 0 g to two decimal places and the probability to four decimal places.) it; = :l a ; = :l mmgc: (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is part (3) because of the sample size. Therefore, the distribution about ,u; is