Answer to Question #142388 in Statistics and Probability for punitha

Question

The probability is 0.70 that a rare tropical disease will be diagnosed correctly. If it is diagnosed correctly, the probability is 0.90 that the patient will be cured; if it is not diagnosed correctly, the probability is 0.40 that the patient will be cured.
i. Draw a tree diagram to represent all the probabilities.

Answer 1

Where,

Pdc = Probability of the disease getting diagnosed and cured = 0.63

Pdnc = Probability of the disease getting diagnosed but not cured = 0.07

Pndc = Probability of the disease not getting diagnosed but cured = 0.12

Pndnc = Probability of the disease not getting diagnosed and not cured = 0.18