A study of consumer smoking habits includes 186 people in the 18-22 age bracket (42 of whom smoke), 124 people in the 23-30 age bracket (40 of whom smoke), and 99 people in the 31-40 age bracket (21 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.

Question

Blake Ayers

Mathematics

3 September, 05:33

A study of consumer smoking habits includes 186 people in the 18-22 age bracket (42 of whom smoke), 124 people in the 23-30 age bracket (40 of whom smoke), and 99 people in the 31-40 age bracket (21 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.

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Answers (1)

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Korbin Wise · Answer 1

P (18-22 or non smokers) = 0.8508

Step-by-step explanation:

Solution:

- The first step would be to make a table out of the given data given as follows:

Age Group Smokers Non-Smokers Total

18-22 42 144 186

23-30 40 84 124

31-40 21 78 99

- Count the total number of people who are non-smokers or lie in the age group of 18-22 as N:

N = 186 + 84 + 78

N = 348 people.

- The total number of people from which the a random person is selected is T:

T = 186 + 124 + 99

T = 409 people in total.

- Probability of favorable events = (Number of favorable events) / (Total number of events):

P (18-22 or non smokers) = N / T

= 348 / 409

= 0.8508