2/ The question, \"Do you smoke?\" was asked of 100 people. Results are shown in

Question

2/ The question, "Do you smoke?" was asked of 100 people. Results are shown in the table Yes 19 12 31 No 41 28 69 Total Male Female Total 60 100 a/ What is the probability of a randomly selected individual being a male who smokes? b/ What is the probability of a randomly selected individual being a male mention is made of gender) d/ What is the probability of a randomly selected smoking given the gen ual smoking? (Hint: no male? e/ What is the probability that a randomly selected a gender is male giv e is a smoker ?

Explanation / Answer

a) PRob( Male who smokes) = 19/100 = 0.19

b) P(Male) = 60/100 = 0.60

c) P(Smoker) =31/100 =0.31

d) P(Smoker|M) = P(MAle Smoker)/ P(MAle) = 0.19/0.60 = 0.3167

e) P(Male|SMoker) = P(Male Smoker)/ P(Smoker) = 0.19/0.31 =0.6129

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