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A doctor studies the known cancer patients in a certain town. The probability th

ID: 3011950 • Letter: A

Question

A doctor studies the known cancer patients in a certain town. The probability that a randomly chosen resident has cancer is found to be 0.002. It is found that 25% of the town works for a certain chemical company. The probability that an employee of the company has cancer is equal to 0.005. Are the events "has cancer" and "works for the company" independent of one another? Are the two events independent? Choose the correct answer below. Yes, since because the probability that an employee of the company has cancer is not the same as the probability that a randomly chosen resident has cancer. Therefore the events are independent. Yes, since because the probability that an employee of the company has cancer is the same as the probability that a randomly chosen resident has cancer. Therefore the events are independent. No, because the probability that an employee of the company has cancer is the same as the probability that a randomly chosen resident has cancer. Therefore the events are not independent. No, because the probability that an employee of the company has cancer is not the same as the probability that a randomly chosen resident has cancer. Therefore the events are not independent.

Explanation / Answer

no they are not independent

because the probability that an employee of hte company has cancer is not tha same as the probability that a randomly chosen resident has cancer

and

some of the workers are from the city hence the probability of company is dependent on the probability of the town

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