ut of Jestion A group of medical professionals is considering the construction of a private clinic. If the medical demand is high (.e. there is a favorable market for the clinic), the physicians could realize a net profit of $100,000. If the market is not favorable, they could lose $40,000. Of course, they don't have to proceed at all, in which case there is no cost. The physicians have been approached by a market research firm that offers to perform a study of the market at a fee of $5,000. The market researchers claim their experience enables them to use Bayes' Theorem to make the following statements of probability: Probability of a favorable market given a favorable study = 0.82 Probability of an unfavorable market given a favorable study = 0.18 Probability of a favorable market given an unfavorable study = 0.11 Probability of an unfavorable market give an unfavorable study = 0.89 Probability of a favorable research study = 0.55 Probability of an unfavorable research study = 0.45 1. Construct a decision tree to help analyze this problem. What should the medical professionals do? ii. What is the expected value of sample information? Select one: a. i. No Survey (EMV-$36,140) il. $6,140 9:11 PM 10/10/2020