The Rapid Test is used to determine whether someone

has HIV (the virus that causes AIDS). The

false-positive and false-negative rates are .027 and

.080, respectively. A physician has just received the

Rapid Test report that his patient tested positive.

Before receiving the result, the physician assigned

his patient to the low-risk group (defined on the

basis of several variables) with only a 0.5% probability

of having HIV. What is the probability that

the patient actually has HIV?