JIZ 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 = 0.31. Complete parts (a) through (c) below (a) Describe the sampling distribution of p. O A. Approximately normal, u. = 0 31 and o. ~ 0.0004 O B. Approximately normal, u. = 0 31 and o. ~ 0.0002 O C. Approximately normal, u. = 0.31 and o. 2 0.0146 (b) What is the probability of obtaining x = 340 or more individuals with the characteristic? P(x2 340) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 290 or fewer individuals with the characteristic? P(xs290) = (Round to four decimal places as needed.)