7) A study of consumer smoking habits includes 191 people in the 18-22 age brack

Question

7) A study of consumer smoking habits includes 191 people in the 18-22 age bracket (50 of whom 7 smoke), 129 people in the 23-30 age bracket (30 of whom smoke), and 86 people in the 31-40 age bracket (30 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 18-22 or does not smoke. A) 1.2 B) 0.738 C) 0.347 D) 0.852 8) An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the 8) probability that there is at least one correct answer A) B) C) D) 70 1,024 1,024

Explanation / Answer

Q 7)

First we prepare the contingency table

The probability of getting someone who is age 18-22 or does not smoke

=P(from age 18-22)+P(doesnot smoke)-P(age 18-22 and doesnot smoke)

= (191 + 296 -141)/406 = 346/406 = 0.852

Age 18-22 23-30 31-40 Total No Smoke 191-50=141 129-30=99 86-30=56 Smoke 50 30 30 110 Total 191 129 86 406

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