Suppose the Probability of an Athlete Taking a Certain Illegal

Multiple Choice

Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given
That the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the
Athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a
Positive test result has been observed for an athlete, what is the probability that they have taken
This steroid?

A) 0.9928
B) 0.9552
C) 0.0995
D) 0.9325