SOLUTION: 10. A population survey shows that 40% are Young, 35% are Middle aged, and the rest are Seniors. Among the Young, 60% smoke. Among the Middle aged, 40% smoke, while among the Senio

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Question 868500: 10. A population survey shows that 40% are Young, 35% are Middle aged, and the rest are Seniors. Among the Young, 60% smoke. Among the Middle aged, 40% smoke, while among the Seniors 20% smoke. Find the probability that a person in this survey:
a) a middle aged smoker
b) a senior non smoker
c) a smoker
d) a smoker given that he/she is a senior
e) a senior given that he/she smokes
f) young or a smoker
I have the answers I just don't understand how to do it

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Recommend making a table to keep track...
Age % of Pop %whosmoke % of Entire Pop for each
Young .40 .60 .24 (.40*.60)
Middle .35 .40 .14
Seniors .25 .20 .05
.43 (sum)
a) a middle aged smoker: P(MA smoker) = .14
b) a senior non smoker: P(S nonsmoker) = 1 - .05 = .95 0r 95%
c) a smoker P = .43
d) a smoker given that he/she is a senior: P = .05/.25
e) a senior given that he/she smokes: P = .05/.43
f) young or a smoker: P = .40 + .43 - .24
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