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