The president of Doerman Distributors, Inc., believes that 27% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers.
a) Assume that the president is correct and p = 0.27. What is the sampling distribution of for this study?
b) What is the probability that the sample proportion will be between .14 and .40 (to 4 decimals)?
c) What is the probability that the sample proportion will be between .19 and .35 (to 4 decimals)?