3. 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 pro- portion of first-time customers. a. Assume that the president is correct and p = 30. What is the sampling distribution of p for this study? b. What is the probability that the sample proportion p will be between 20 and 40? c. What is the probability that the sample proportion will be between 25 and .35?

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