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...

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)?