The table lists the smoking habits of a group of college students. If a student

Question

The table lists the smoking habits of a group of college students. If a student is chosen at random (a) Find the probability of getting someone who is a man or non-smoker Round your answer to three places. (b) Find the probability of getting someone who is a woman given that she is a non-smoker

Explanation / Answer

Dear Student Thank you for using Chegg !! a) Total no of men (A) = 182 Total no of non smoker (B) = 322 Total o of men and non smoker © = 135 Total no of ways of selection of a man or a non smoker is A + B - C = 369 Total number of ways of selection of any 1 student (Total number of students) = 400 (400C1) Probability = Favourable outcome / sample space = 369/400 = 0.9225 = 0.923 Solution b) Total number of non smokers = 322 Total Number of women = 218 Now for finding probability that the given non-smoker is a woman (Clearly this is a question of conditional probability) i.e. p(A, given B) = P (A & B) / P(B) => Probability that selected student is woman non smoker is P(A&B) = 187 / 400 (Where 400 is total number of students) Probability that selected student is a non smoker is P(B) = 322/400 Probability that student is a woman given she is a non-smoker = 187/322 = 0.580745 = 0.581 Hence solved

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.