Can you please explain how to solve these questions?

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 p = 0.61. 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, HA =0.61 and G ~ 0.0154 O B. Approximately normal, HA = 0.61 and G~ ~ 0.0005 O C. Approximately normal, HA = 0.61 and a~ ~ 0.0002 (b) What is the probability of obtaining x = 630 or more individuals with the characteristic? P(x 2630) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 580 or fewer individuals with the characteristic? P(x $580) = (Round to four decimal places as needed.)