- #1
wahaj
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Homework Statement
A new diagnostic test is developed in order to detect a particular disease. It is known that 1% of
the population has this disease. The diagnostic test is said to be 95% reliable. In other words, if
a person has this disease, the test will detect it 95% of the time. On the other hand, if a person
does not have the disease, the test will report that the person does not have the disease 90%
of the time.
A person is chosen at random from the population. The diagnostic test indicates that they have
the disease this test is designed to detect. What is the conditional probability that this person, in
fact, has the disease
Homework Equations
P(A|B)=P(A∩B)/P(B).
The Attempt at a Solution
See attached picture.
I am having trouble with conditional probability and I don't have a way of finding out whether the answer I am getting is correct. If I am doing this wrong can someone point out my mistake?