6. In a survey of 920 people aged from 18 through 84 years, of whom 80 belonged

Question

6. In a survey of 920 people aged from 18 through 84 years, of whom 80 belonged to the Millenial Generation (18 - 220 belonged to Generation X (37-52), 200 belonged to the Baby Boom Generation and the rest belonged to the Silent generation (71 +), the following question was asked: who has slept with a cell phone nearby? 85%, 70%, 50% and 20% of the people from the Millenial Generation, Generation X, the Baby Boom Generation, and the Silent generation, respectively, answered in the affirmative. a) How many people surveyed answered in the affirmative? b) If a person in the survey is selected at random and has slept with a cell phone, what is the probability that the person belongs to the Baby Boom generation? c) Ifa person in the survey is selected at random and has not slept with a cell phone, what is the probability that the person belongs to the Millenial Generation?

Explanation / Answer

a)

80*0.85+220*0.7+200*0.5+420*0.2 = 406

b)

P = 200*0.5 /(80*0.85+220*0.7+200*0.5+420*0.2) = 0.25

c)

P = 80*0.85/(80*0.85+220*0.7+200*0.5+420*0.2) = 0.17

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