12. The table below shows the smoking status of heathy adults by gender of 107 r
ID: 3070181 • Letter: 1
Question
12. The table below shows the smoking status of heathy adults by gender of 107 randomly selected adults Smoker Nonsmoker Male Female 29 4 63 What is the probability that a randomly selected adult is a. a female? b. a male or a smoker? c. a female or a nonsmoker? d. a male and a smoker? e a female, given that the adult was a smoker? f. a smoker, given that the adult was a female? If 2 adults are randomly selected without replacement, what is the probability that g. both are males? h. both are nonsmokers?Explanation / Answer
a)
P(Female) = n(Female) / total adults
= 15 / 107
= 0.1402
b)
P(Male or Smoker) = P(Male) + P(Smoker) - P(Male and Smoker)
= 92/107 + 74/107 - 63/107
= 0.9626
c)
P(Female or nonsmoker) = P(Female) + P(nonsmoker) - P(female and nonsmoker)
= 15/107 + 33/107 - 4/107
= 0.4112
d)
P(Male and smoker) = n(Male and smoker) / total adults)
= 63/107
= 0.5888
e)
P(Female | smoker) = P(Female and smoker) / P(Smoker)
= 11/74
= 0.1486
f)
P(Smoker | female) = P( Smoker and female) / P(Female)
= 11 / 15
= 0.7333
g)
Since second adult is randomly selected, the number of adults remaining to choose
second adult is one less than first choice.
P(Both males) = P(First male) * P(Second male)
= 92/107 * 91/106
= 0.7381
h)
P(Both nonsmoker) = P(First nonsmoker) * P(Second nonsmoker)
= 33/107 * 32/106
= 0.0931
Smoker Non smoker Total Male 63 29 92 Female 11 4 15 Total 74 33 107Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.