A survey showed that a majority of Americans plan on doing their holiday shopping online because they don’t want to spend money on gas driving from store to store. Suppose we have a group of 10 shoppers; 7 prefer to do their holiday shopping online and 3 prefer to do their holiday shopping in stores. A random sample of 3 of these 10 shoppers is selected for a more in-depth study of how the economy has impacted their shopping behavior.a) What is the probability that exactly two prefer online shopping?b) What is the probability that the majority (either two or three) prefer shopping online?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 85E
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A survey showed that a majority of Americans plan on doing their holiday shopping online because they don’t want to spend money on gas driving from store to store. Suppose we have a group of 10 shoppers; 7 prefer to do their holiday shopping online and 3 prefer to do their holiday shopping in stores. A random sample of 3 of these 10 shoppers is selected for a more in-depth study of how the economy has impacted their shopping behavior.
a) What is the probability that exactly two prefer online shopping?
b) What is the probability that the majority (either two or three) prefer shopping online?

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