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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 = 0.47. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. O A. Approximately normal, HA = 0.47 and ox ~ 0.0158 O B. Approximately normal, HA = 0.47 and ox ~ 0.0002 O C. Approximately normal, HA = 0.47 and ox ~ 0.0005 (b) What is the probability of obtaining x = 490 or more individuals with the characteristic? P(x2 490) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 440 or fewer individuals with the characteristic? P(xs 440) = (Round to four decimal places as needed.)