The table below summarizes data on smoking status and perceived risk of smoking.
ID: 3201020 • Letter: T
Question
The table below summarizes data on smoking status and perceived risk of smoking. Suppose that a person is randomly chosen from these respondents. Use the information in the table to answer the questions below. In showing your work, define and use appropriate notation. What is the probability that a randomly selected person is a former smoker? What is the probability that a randomly selected person perceives smoking as very harmful? What is the probability that a randomly selected person is a current smoker, given that they perceive smoking as not too harmful? What is the probability that a randomly selected person is not currently a smoker, given that they perceive smoking as very harmful?Explanation / Answer
Solution:-
1) The probability that a randomly selected person is a former smoker is 0.33673.
Total number of former smokers = 99
Total number of people = 294
Probability that a randomly selected person is a former smoker = 99/294 = 0.33673
2) The probability that a randomly selected person percieves smoking as very harmful is 0.7619.
Total number of former smokers = 224
Total number of people = 294
The probability that a randomly selected person percieves smoking as very harmful = 224/294 = 0.7619
3) The probability that a randomly selected person is a current smoker, given that they percieve smoking as not too harmful is 0.20.
Total number of currrent smokers person those percieve smoking as not too harmful = 5
Total number of person those percieve smoking as not too harmful = 10
The probability that a randomly selected person is a current smoker, given that they percieve smoking as not too harmful = 5/10 = 0.20
4) The probability that a randomly selected person is not currently a smoker, given that they percieve smoking as very harmful is 0.732.
Total number of not currrently smoker persons those percieve smoking as very harmful = 78 + 86 = 164
Total number of person those percieve smoking as very harmful = 224
The probability that a randomly selected person is not currently a smoker, given that they percieve smoking as very harmful = 164/224 = 0.73214
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