In: Statistics and Probability
Direct marketing companies are turning to the Internet for new
opportunities. A recent study by Gruppo, Levey, & Co. showed
that 73% of all direct marketers conduct transactions on the
Internet. Suppose a random sample of 310 direct marketing companies
is taken.
a. What is the probability that between 220 and
241 (inclusive) direct marketing companies are turning to the
Internet for new opportunities?
b. What is the probability that 75% or more of
direct marketing companies are turning to the Internet for new
opportunities?
c. Suppose a random sample of 500 direct marketing
companies is taken. Now what is the probability that 75% or more
are turning to the Internet for new opportunities?How does this
answer differ from the answer in part (b)? Why do the answers
differ?
(Round the values of z to 2 decimal places. Round the
intermediate values to 4 decimal places. Round your answers to 4
decimal places.)