2. Suppose a survey is conducted on 85 people. Each participant was asked whether or not they have been vaccinated and what their plans are for the upcoming long weekend. The results are given in the table below. Camping Beach Stay Home Vaccinated 28 24 10 Not Yet Vaccinated 3 15 Suppose we select one person from this survey at random. (a) What is the probability the selected person is vaccinated and plans to go camping over the long weekend? (b) If we know the selected person is planning to go camping over the long weekend, what is the probability they are vaccinated? (c) What is the probability a selected person who is vaccinated plans to go eamping over the long weekend?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2.
Suppose a survey is conducted on 85 people. Each participant was asked whether or not
they have bee vaccinated and what their plans are for the upcoming long weekend. The results are
given in the table below.
Camping Beach Stay Home
28
Vaccinated
24
10
Not Yet Vaccinated
3
15
Suppose we select one person from this survey at random.
(a) What is the probability the selected person is vaccinated and plans to go camping over the long
weekend?
(b) If we know the selected person is planning to go camping over the long weekend, what is the
probability they are vaccinated?
(c) What is the probability a selected person who is vaccinated plans to go eamping over the long
weekend?
Transcribed Image Text:2. Suppose a survey is conducted on 85 people. Each participant was asked whether or not they have bee vaccinated and what their plans are for the upcoming long weekend. The results are given in the table below. Camping Beach Stay Home 28 Vaccinated 24 10 Not Yet Vaccinated 3 15 Suppose we select one person from this survey at random. (a) What is the probability the selected person is vaccinated and plans to go camping over the long weekend? (b) If we know the selected person is planning to go camping over the long weekend, what is the probability they are vaccinated? (c) What is the probability a selected person who is vaccinated plans to go eamping over the long weekend?
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