Question: You may need to use the appropriateappendix tableortechnologyto answer this question. The president of Doerman Distributors, Inc., believes that25% of the firm's orders come from

You may need to use the appropriateappendix tableortechnologyto answer this question.

The president of Doerman Distributors, Inc., believes that25% of the firm's orders come from first-time customers. A random sample of100orderswill be used to estimate the proportion offirst-timecustomers.

(a)

Assume that the president is correct andp=0.25.

What is the sampling distribution ofp

forn=100? (Round your answer forp

to four decimal places.)

p

=

E(p)

=

Sincenp=

andn(1p) =

, approximating the sampling distribution with a normal distribution---Select---isis not

appropriate in this case.

(b)

What is the probability that the sample proportionp

will be between0.15and0.35? (Round your answer to four decimal places.)

(c)

What is the probability that the sample proportion will be between0.20and0.30? (Round your answer to four decimal places.)

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