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. ) Amume that the president is correct and p * 0,30. What is the sampling distribution of p for 1007 (Round your answer for to four decimal places.) EP) Since Cane and n(1-0) - ), approximating the sampling distribution with a norma darbation appropriate in the (b) What is the probability that the sample proportion will be between 0.20 and 0.407 (Round your z values to two decimal places and your answer to four decimal places PC =P SOS SZS (c) What is the probability that the sample proportion will be between 0.35 and 357 (Round your answer to four decimal places.)