The president of Doerman Distributors, Inc., believes that 34% 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 34%  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=0.34 . What is the sampling p distribution of  for this study?

- Select your answer -

A non normal distribution

A normal distribution because np and n(1-p) are both greater than 5

A normal distribution because np and n(1-p) are both less than 5

b.What is the probability that the sample proportion will be between .28.and .40  (to 4 decimals)?

c.
What is the probability that the sample proportion will be between .33 and .35 (to 4 decimals)?