Problem 1. (20 points) The table below shows the soft drink preferences of peopl

Question

Problem 1. (20 points) The table below shows the soft drink preferences of people in three age groups (255 subjects total). cola root beer lemon-lime 20 30 35 under 21 years of age40 25 20 30 between 21 and 40 35 over 40 years of age 20 a) If one of the 255 subjects is randomly selected, find the probability that the person drinks cola given that this person is under 21 years of age. b) If one of the 255 subjects is randomly selected, find the probability that the person is under 21 years find of age given that this person drinks cola. c) If one of the 255 subjects is randomly selected, find the probability that this person is between 21 and 40 given that this person does not drink cola person drinks cola

Explanation / Answer

We use the concept of conditional probability to solve the problem:

Here' how to solve the problem:

a. P( person drinks cola given person' under 21 ) = 40/(40+25+20) = .706
b. P(person' under 21 years given person drinks cola) = 40/(40+35+20) = .4211
c. P(person is between 21 and 40 given he doesn't drink cola) = (20+30)/(255-40-35-20) = .3125

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