a.What is the probability that the selected adult has mutation A? b. What is the probability that the selected adult has mutation A and test TT gives a positive result? c. What is the probability that test TT gives a positive result for the selected adult?

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According to the CCD, 1 in 25 adults have mutation A in their blood. Test TT for that mutation will give a positive result 95% of
the time when the adult actually has the mutation and a negative result the other 5% of the time. If the adult does not have the
mutation, then the TT test gives a positive result 1% of the time and a negative result the other 99% of the time. Suppose an
adult is randomly selected and given the TT test.
a.What is the probability that the selected adult has mutation A?
b. What is the probability that the selected adult has mutation A and test TT gives a positive result?
c. What is the probability that test TT gives a positive result for the selected adult?
d. What is the probability that test TT gives a negative result for the selected adult?
e. What is the probability that the selected adult has the mutation given that test TT gives a positive result?
f.If 1000 random adults are selected, about how many would be expected to give a positive result for test TT?
Transcribed Image Text:According to the CCD, 1 in 25 adults have mutation A in their blood. Test TT for that mutation will give a positive result 95% of the time when the adult actually has the mutation and a negative result the other 5% of the time. If the adult does not have the mutation, then the TT test gives a positive result 1% of the time and a negative result the other 99% of the time. Suppose an adult is randomly selected and given the TT test. a.What is the probability that the selected adult has mutation A? b. What is the probability that the selected adult has mutation A and test TT gives a positive result? c. What is the probability that test TT gives a positive result for the selected adult? d. What is the probability that test TT gives a negative result for the selected adult? e. What is the probability that the selected adult has the mutation given that test TT gives a positive result? f.If 1000 random adults are selected, about how many would be expected to give a positive result for test TT?
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