Consider the following information about travelers onvacation (based partly on a recent Travelocity poll):40% check work email, 30% use a cell phone to stayconnected to work, 25% bring a laptop with them, 23%both check work email and use a cell phone to stayconnected, and 51% neither check work email nor usea cell phone to stay connected nor bring a laptop. Inaddition, 88 out of every 100 who bring a laptop alsocheck work email, and 70 out of every 100 who use acell phone to stay connected also bring a laptop.a. What is the probability that a randomly selectedtraveler who checks work email also uses a cellphone to stay connected?b. What is the probability that someone who brings alaptop on vacation also uses a cell phone to stayconnected?c. If the randomly selected traveler checked work emailand brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the following information about travelers on
vacation (based partly on a recent Travelocity poll):
40% check work email, 30% use a cell phone to stay
connected to work, 25% bring a laptop with them, 23%
both check work email and use a cell phone to stay
connected, and 51% neither check work email nor use
a cell phone to stay connected nor bring a laptop. In
addition, 88 out of every 100 who bring a laptop also
check work email, and 70 out of every 100 who use a
cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected
traveler who checks work email also uses a cell
phone to stay connected?
b. What is the probability that someone who brings a
laptop on vacation also uses a cell phone to stay
connected?
c. If the randomly selected traveler checked work email
and brought a laptop, what is the probability that he/
she uses a cell phone to stay connected?

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