Question

3 (a) In a certain town, 12 % of the population develop lung cancer. If 39 % of the population are smokers and 85% of those developing lung cancer are smokers, what is the probability that a smoker in this town will develop lung cancer? Write your answer as a decimal accurate to three decimal places.

(b) A certain kind of light bulb has a 8.5 percent probability of being defective. A store receives 54 light bulbs of this kind. What is the expected value (or mean value) of the number of light bulbs that are expected to be defective? Write your answer as a decimal accurate to three decimal places.

Answer 1

3) a) L be event of an individual developing lung cancer, S be event that an individual is a smoker

We want to find

Note

And

So

And so is the probability that a smoker in this town develops lung cancer

b) The required number of expected defective bulbs is

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