Suppose a simple random sample of size n= 1000 is obtained from a population whose size is N=1,500,000 and whose population proportion with a specified characteristic is p= 0.42. Complete parts (a)...

Extracted text: Suppose a simple random sample of size n= 1000 is obtained from a population whose size is N=1,500,000 and whose population proportion with a specified characteristic is p= 0.42. Complete parts (a) through (c) below (a) Describe the sampling distribution of p. O A. Approximately normal, HA = 0.42 and e 0.0156 O B. Approximately normal, ua= = 0.42 and oa 0.0004 OC. Approximately normal, ua = 0.42 and on 0.0002 (b) What is the probability of obtaining x= 440 or more individuals with the characteristic? P(x2440) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 390 or fewer individuals with the characteristic? P(xs 390) = (Round to four decimal places as needed.)