Question

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.

Answer 1

Answer:

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