The president of Doerman Distributors, Inc., believes that 30% of firm's orders come from first-time customers. A random sample of 100 orders will be employed to determine the proportion of first-time customers. Suppose that the president is correct and p=0.30.
a. Determine the probability that the sample proportion will be between 0.20 and 0.40?
b. Determine the probability that the sample proportion will be between 0.25 and 0.35?
c. Determine the probability that the sample proportion will be greater than 0.37?