Math, asked by sumair979, 1 year ago

In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05. If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, what is the probability that an adult over 40 years of age is diagnosed as having cancer

Answers

Answered by amitnrw

2

probability of selecting an adult over 40 years of age diagnosed as having cancer = 0.096

Step-by-step explanation:

probability of selecting an adult over 40 years of age with cancer is 0.05

probability of selecting an adult over 40 years of age without cancer = 1 -0.05 = 0.95

probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78

probability of incorrectly diagnosing a person without cancer as having the disease is 0.06

the probability that an adult over 40 years of age is diagnosed as having cancer = 0.05 * 0.78 + 0.95*0.06

= 0.039 + 0.057

= 0.096

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