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@ (Revision 10) Assignment 2 Overview Total marks: /71 This assignment covers content from Unit 2 of the course. It assesses your knowledge of the concepts and tules that allow us to compute the probabilities related to events that occur when conditions are uncertain Instructions e Show all your work and justify all of your answers and conclusions, except for the True/False questions. e Keep your work to 4 decimals, unless otherwise stated. (4 marks) 1. Circle True (T) or False (F) for each of the following statements: T ® {H, T} represents the sample space for an experiment of flipping two coins, each with heads (H) on one side and tails (T) on the other. T ® 13/12 represents a possible value of a probability. @ F Suppose that the probability of event A occurring is 1/5 and the probability of event B occurring is 3/7. If events A and B are mutually exclusive, the probability that A and B occur together is 0. T \®) Ifa researcher samples without replacement, then future probabilities of the sampling process are unaffected by prior probabilities. (7 total marks) 2. Atarecent convention, a group of 60 doctors were classified according to their specialties. The number of doctors in each specialty was summarized as follows: Pediatrician: 18 General Practitioner: 29 Surgeon: 4 Dermatologist: 9 If a doctor is selected at random, what is the probability that: (1 mark) a. the doctor is a dermatologist? JSF IAAAH+A=GO WOO0-0.'5 \cok = 15 I5% CHAVUE THE DOCTOR IS A DER MATOIOGIST (2 marks) b. the doctor is either a pediatrician or a general practitioner? PEDIATRICIAN «1% 020.3 7 GENERAL PARCTI TIONG ° QVoo0 7 0.4833 0.4933 x 100 = FB. 33% Sec exs oh m GENERA APWSVMCHANGE THE DocTOR, 19 & PEGIATRIGIAN OR Pee 
