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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 49% 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 whochecks work email also uses a cell phone to stay connected?

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Answer:

There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.

Step-by-step explanation:

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

The problem states that 40% of the travelers on vacation check work email. And 16% of them check both work email and use a cell phone.

So, the probability is the division of those who use both email and cellphone by those who use email.

[tex]P = \frac{0.16}{0.40} = 0.4[/tex]

There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.

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