1. A random individual is chosen and given the test. Please show your work and find:...
1. A random individual is chosen and given the test. Please show your work and find: a. P(person has condition | test is positive), b. P(person has condition | test is negative)
The conditions are as follows: Healthy people get a false positive 10% of the time
People with the condition get a false negative 10% of the time
5% of people actually have the condition.
Homework Answers
a)P( person has condition | test is positive) =P(condition and tested positive)/P(tested positive)
=0.05*0.95/(0.05*0.95+0.95*0.1)=0.3333
b) P(person has condition | test is negative) =P(condition and tested negative)/P(tested negative)
=0.05*0.05/(0.05*0.05+0.95*0.9)=0.0029
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