A simple random sample of size n = 125 is obtained from a population whose size is N = 10,000 and whose population proportion with a specified characteristic is p = 0.2.
What is the probability of obtaining x = 30 or more individuals with the characteristic? What is P(p > 0.24)?
What is the probability of obtaining x = 15 or fewer individuals with the characteristic? What is P(p < 0.12)?