1. Consider a 68 years old woman who complains of dyspnea on exertion. You estimate the P(D) of left ventricular failure ( LVF) as 0.20. But other conditions exist. These conditions may change the probability of diagnosis. There are multiple symptoms to make the diagnosis.

These symptoms are:

Initial Likelihood LVF Other

0.20 0.80

Chronic

Hypertension 0.6 0.4

Chronic Cough 0.4 0.6

Orthopnea 0.5 0.5

Basel Rales/No

Wheeze 0.6 0.4

S3 at the Apex 0.8 0.2

Large Heart 0.95 0.05

Calculate the min/max probabilities of the disease, and the ratio ofL VF : Other, given that all the symptoms are existing. Calculate the ratios for the cases below:

a. all the clues are maximally independent

b. all the clues are maximally dependent.