Suppose a simple random sample of size n = 150 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p = 0.4. Complete parts (a) through (c) below. OL. Approximately normal because n s U.USN and np(1 - p) 2 10 O D. Not normal because n $ 0.05N and np(1 - p) 2 10 Determine the mean of the sampling distribution of p. Its =(Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. . =(Round to six decimal places as needed.) (b) What is the probability of obtaining x = 63 or more individuals with the characteristic? That is, what is P(p 2 0.42)? P(p 20 42)= (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 51 or fewer individuals with the characteristic? That is, what is P(p s 0.34)? P(p s0.34) = (Round to four decimal places as needed.)