# The president of Doerman Distributors, Inc., believes that 29% 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. Use z-table. a. Assume that the president is correct and p=0.29. What is the sampling distribution of p for this study?   b.What is the probability that the sample proportion will be between .18 and  .40 (to 4 decimals)?   c. What is the probability that the sample proportion will be between .23 and .35 (to 4 decimals)?

Question

The president of Doerman Distributors, Inc., believes that 29% 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. Use z-table.

a. Assume that the president is correct and p=0.29. What is the sampling distribution of p for this study?

b.What is the probability that the sample proportion will be between .18 and  .40 (to 4 decimals)?

c. What is the probability that the sample proportion will be between .23 and .35 (to 4 decimals)?