Question

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, 16% both check work email and use a cell phone to stay connected, and 44% 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? Incorrect: Your answer is incorrect. (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.)

Answer 1

Let A denotes the event that a traveler checks work email, B denotes the event that a traveler uses a cell phone to stay connected to work and C denotes the event that a traveler brings a laptop with him. Therefore, we are given:

Rearranging the terms we have:

  

a) What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?

Answer: We have to find

From the given information, we have:

(b) What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

Answer:

We have to find:

We know that:

(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?

Answer: We have to find

We know that: