### What is the sampling distribution of for study

Assignment Help Basic Statistics
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The president of Doerman Distributors, Inc., believes that 27% of the firm's orders come from first-time customers. A simple 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 = 0.27. What is the sampling distribution of for this study?

b) What is the probability that the sample proportion will be between .14 and .40 (to 4 decimals)?

c) What is the probability that the sample proportion will be between .19 and .35 (to 4 decimals)?

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