You may need to use the appropriate appendix table or technology to answer this question.

The president of Doerman Distributors, Inc., believes that 35% 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.

(a)

Assume that the president is correct and

p = 0.35.

What is the sampling distribution of

p

for n = 100? (Round your answer for

_p

to four decimal places.)

_p

= .0385

E(p)

=

Since np = and n(1 p) = , approximating the sampling distribution with a normal distribution

appropriate in this case.

(b)

What is the probability that the sample proportion

p

will be between 0.25 and 0.45? (Round your answer to four decimal places.)

__________

(c)

What is the probability that the sample proportion will be between 0.30 and 0.40? (Round your answer to four decimal places.)

__________