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= 0.77.

(A) Describe the sampling distribution of p:

(B) What is the probability of obtaining x= 810 or more individuals with the characteristic?

P(x > 810)= (Round to four decimal places as needed)

(C) What is the probability of obtaining x=750 or fewer individuals with the characteristic?

P(x< 750)= (Round to four decimal places as needed)