Question

Medical researchers believe that the probability of getting lung cancer if a person smokes is 0.34. The probability that a nonsmoker will get lung cancer is 0.03. It is also known that 11% of the population smokes. What is the probability that a person with lung cancer is a smoker?

Answer 1

Answer:

Therefore the probability that a person with lung cancer is a smoker is

 = 0.58

Step-by-step explanation:

Given, 11% of population smokes. Then(100-11)%=89% of population do not smoke. The probability of getting lung cancer if a person smoker is 0.34. The probability that a nonsmoker will get lung cancer is 0.03.

                        Cancer

Smoker           (11%× 0.34)=3.74%

nonsmoker     (89%×0.03)=2.67%

                                        ______

                                            6.41%

Therefore the probability that a person with lung cancer is a smoker is

$=\frac{3.74\%}{6.41\%}$ = 0.58