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. (a) Assume that the president is correct and p=0.30. What is the sampling distribution of p for n 100? (Round your answer for a to four decimal places.) E(P)- Since npw case. and n(1 - p)- , approximating the sampling distribution with a normal distribution appropriate in this (b) What is the probability that the sample proportion p will be between 0.20 and 0.407 (Round your z-values to two decimal places and your answer to four decimal places.) P =PL sps 525 (c) What is the probability that the sample proportion will be between 0.25 and 0.357 (Round your answer to four decimal places.)