The president of Doerman Distributors, Inc., believes that 26% of the firm's orders come from first-time customers.

The president of Doerman Distributors, Inc., believes that 26% of the firm's orders come from first-time customers. A simple random sample of 80 orders will be used to estimate the proportion of first-time customers.Assume that the president is correct and p = 0.26. What is the sampling distribution of for this study?What is the probability that the sample proportion will be between .20 and .40 (to 4 decimals)?What is the probability that the sample proportion will be between .25 and .35 (to 4 decimals)?