Only do (c) please.

2. One of the overthecounter HIV testing kits was tested by two groups. Test kit was given to random sample of 113 patients with HIV and an inde pendent random sample of 432 without symptoms of HIV. Test result was given as follows:(15 points) HIV Yes No Test Result Positive 106 3 7 429 (a) What is the sensitivity, P(Positive result | HIV) of the test kit? (b) What is the specicity, P(Negative result | no HIV) of the test kit? (c) What is the positive predictive value of the test kit, P(HIV | Positive result)? Assume that the P(HIV) = 0.07