Let `d_1,d_2, d_3` be thee mutually exclusive diseases. Let `S={s_1,s_2, s_(3 ,),.....,s_6}` be the set of observable symptoms of these diseases. For example `s_1` is the shortness of breath, `s_2` is loss of weight, `s_3` is fatigue etc. Suppose a random sample of 10,000 patients contains 3200 patients with disease `d_1, 3500` with disease `d_2a n d3300` with disease `d_3dot` Also, 3100 patients with disease `d_1, 3300` with disease `d_2a n d3000` with disease `d_3` show the symptom S. Knowing that the patient has symptom S, the doctor wishes to determine the patients illness. One the basis of this information, what should the doctor conclude?