The president of doerman distributors inc. believes that 30, Ask an Expert

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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. Assume that the president is correct and p=0.30.

a. What is the probability that the sample proportion will be between 0.20 and 0.40?

b. What is the probability that the sample proportion will be between 0.25 and 0.35?

c. What is the probability that the sample proportion will be greater than 0.37?

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