Diagnosing and treating an individual with Traft's Syndrome is a difficult process. At any given time, when an individual is experiencing three specific symptoms (temperature above 101.0 F, chest pain, and deep cough), there is a 4% chance he/she has Traft's. Out of those patients with Traft's, a recently developed treatment is found to be 85% effective in eliminating all three of these symptoms. For patients experiencing these three symptoms but who do not have Traft's, the treatment is 10% effective in eliminating these three symptoms - Let T denote that a patient experiencing these symptoms HAS Traft's Syndrome Let T^ denote that a patient experiencing these symptoms does NOT have Traft's Syndrome - Let E denote that the treatment is effective - Let E^ denote that the treatment is not effective P(E | T) P (E and T) P(E* [ T) P(E and T) P(T) P(E | T* ) P(E and TA) P(T*) P(E* IT* ) P(Es and To ) Answer the following questions : Question 1: Find out the following probabilities in the tree diagram above :Let E^ denote that the treatment is not effective P(E | T) P (E and T ) P(E^ | T) P(E^ and T) P(T) P(E | T^ ) PCE and T P(TS) P(E~ | TA ) P(E and T ) Answer the following questions : Question 1: Find out the following probabilities in the tree diagram above : (Please do not round your answers) P(T) - [ Select ] P( E and T) = [Select ] P(T^ ) = [ Select ] P(E^ and T^) = [ Select ] P( EXITA) = [ Select ] Question 2: What is the probability of the new drug being effective? [ Select ]