The president of Doerman Distributors, Inc., believes that 34%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. Use z-table. a. Assume that the president is correct and p=0.34 . What is the sampling distribution of p for this study? A normal distribution because np and n(1-p) are both greater than 5A b.What is the probability that the sample proportion will be between .28 and .40 (to 4 decimals)? c. What is the probability that the sample proportion will be between .33 and .35 (to 4 decimals)?