Question

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Question # B.2 In Fig.B.2 below, suppose C denotes cancerous state and the marginal (prior) probability of occurrence of C is: P(C) 0.01; and, C denotes the non-cancerous state Further, if the medical treatment is pursued, it is denoted by the state, T; and, when the medical treatment is not administered, it denotes the state. T In relevant medical diagnostic and treatment procedures, there are two possible errors that may occur Type I and Type II errors and their corresponding conditional probabilities are indicated in the state-diagram/matrix shown below Types of errors denoted by: X Probability 0.02 0.05 States TİTİ Error X TypeI Type Ⅱ T ETof error Specifving the underlying reasons clearly, answer the following etermine the following probabilities: p(T) and p(T) using Bayes' rule; and define/explain these two probabilities Fig. B.2 Useful hints/formulas The chance of occurrence of an event B, given that A has occurred or the chance of occurrence of event A, given that B has occurred, the joint occurrence can be written in a generalized form: P(AB) P(A)P(BA) P(B)P(AB) 1. 2. Answer hint: { p(T) p(T C) x p(C)+p(T C)x p(C)0.0293

Answer 1

Sol los MF chance to a lortaisionfel cferaded PeMF)o. 333