I just need the answers

Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 1,000,000 and whose population proportion with a specified characteristic is K p=0.53. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1)_ Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. O A. Approximately normal, JA =0.53 and ox ~ 0.0005 O B. Approximately normal, HA = 0.53 and o. ~ 0.0002 O C. Approximately normal, JA = 0.53 and o. ~ 0.0158 (b) What is the probability of obtaining x = 560 or more individuals with the characteristic? P(x2 560)= (Fund to four decimal places as needed.) (c) What is the probability of obtaining x = 510 or fewer individuals with the characteristic? P(x$510)= (Round to four decimal places as needed.)