SOLUTION: Purchasing magazine reported the results of a survey in which buyers were asked a series of questions with regard to Internet usage. One question asked was how they would use the I

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Question 1198513: Purchasing magazine reported the results of a survey in which buyers were asked a series of questions with regard to Internet usage. One question asked was how they would use the Internet if security and other issues could be resolved.
78% said they would use it for pricing information
75% said they would use it to send purchase orders
70% said they would use it for purchase order acknowledgments
Assume that these percentages hold true for all buyers. A researcher randomly samples 20 buyers and asks them how they would use the Internet if security and other issues could be resolved.
(a) What is the probability that exactly 14 of these buyers would use the Internet for pricing information?
(b) What is the probability that all of the buyers would use the Internet to send purchase orders?
(c) What is the probability that fewer than 12 would use the Internet for purchase order acknowledgments?
Answer by ikleyn(52884) About Me  (Show Source):
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Purchasing magazine reported the results of a survey in which buyers were asked a series of questions
with regard to Internet usage. One question asked was how they would use the Internet
if security and other issues could be resolved.
78% said they would use it for pricing information
75% said they would use it to send purchase orders
70% said they would use it for purchase order acknowledgments
Assume that these percentages hold true for all buyers. A researcher randomly samples 20 buyers
and asks them how they would use the Internet if security and other issues could be resolved.
(a) What is the probability that exactly 14 of these buyers would use the Internet for pricing information?
(b) What is the probability that all of the buyers would use the Internet to send purchase orders?
(c) What is the probability that fewer than 12 would use the Internet for purchase order acknowledgments?
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Typical binomial distribution problems, packed three in one post.

Use free of charge online calculator https://stattrek.com/online-calculator/binomial.aspx

It provides nice instructions and a convenient input and output for all relevant options/cases. 


(a)  P = P(n=20; k=14; p=0.78) = 0.1356   (rounded).    ANSWER


(b)  P = P(n=20; k=20; p=0.75) = 0.00317  (rounded).    ANSWER


(b)  P = P(n=20; k<12; p=0.70) = 0.11333  (rounded).    ANSWER

Solved.