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=0.49. Complete parts (a) through (c) below.

(a) Describe the sampling distribution of p.

A. Approximately normal, p=0.49 and p0.0002

B. Approximately normal, p=0.49 and p0.0004

C. Approximately normal, p=0.49 and p0.0158

(b) What is the probability of obtaining x=510 or more individuals with the characteristic? P(x510)=____ (Round to four decimal places as needed.)

(c) What is the probability of obtaining x=460 or fewer individuals with the characteristic? P(x460)=____(Round to four decimal places as needed.)

nothing (Round to four decimal places as needed.)