In: Math
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 25% bring a laptop with them, 21% both check work email and use a cell phone to stay connected, and 59% 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? (Round your answer to four decimal places.)