Video The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. Use 2-table, a. Assume that the president is correct and p = .30. What is the sampling distribution of p for this study? A normal distribution because np and n(1-P) are both greater than 5 b. What is the probability that the sample proportion will be between 20 and 40 (to 4 decimals)? c. What is the probability that the sample proportion will be between 25 and .35 (to 4 decimals)