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jaz5380
18.02.2020 •
Mathematics
Researchers have discovered a new genetic marker for a form of cancer. Twelve percent of the overall population carry this marker, and of all the people who develop this cancer, 29% carry the marker. Suppose that the total frequency of cancer incidents in the population is 3%. What is the probability that a person with the marker develops cancer?
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Ответ:
The probability that a person with the marker develops cancer is 0.0725.
Step-by-step explanation:
Let's denote the events as follows:
A = a person has cancer
B = a person carries the marker.
Given:
P (A) = 0.03
P (B) = 0.12
P (B|A) = 0.29
The conditional probability of an event X provided that another event Y has already occurred is:
Use the conditional probability formula to compute the probability that a person with the marker develops cancer.
Thus, the probability that a person with the marker develops cancer is 0.0725.
Ответ:
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Step-by-step explanation:
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