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At the beginning of a certain study of a group of persons, 15% were classified as heavy smokers, 30% as light smokers, and 55% as nonsmokers. In the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively. A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.

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francocanacari

The probability that the participant was a nonsmoker is 25%.

Probability

Given that at the beginning of a certain study of a group of persons, 15% were classified as heavy smokers, 30% as light smokers, and 55% as nonsmokers, and in the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively, to calculate, if a randomly selected participant died over the five-year period, the probability that the participant was a nonsmoker, the following calculation must be performed:

  • 15 x 5 = 75
  • 30 x 3 = 90
  • 55 = 55
  • 55 + 90 + 75 = 220
  • 220 = 100
  • 55 = X
  • 55 x 100 / 220 = x
  • 5500 / 220 = X
  • 25 = X

Therefore, the probability that the participant was a nonsmoker is 25%.

Learn more about probability in https://brainly.com/question/26684125

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