Question: Julie is graduating from college. She has studied biology, chemistry, and computing and hopes to work as a forensic scientist applying he science background to crime investigation. Late one night she thinks about some jobs she has applied for. Let A, B, and C be the events that Julie is offered a job by

A= the Connecticut Office of the Chief Medical Examiner

B= the New Jersey Division of Criminal Justice

C= the federal Disaster Mortuary Operations Response Team

Julie writes down her personal probabilities for being offered these jobs:

P (A) = 0.6 P (B)= 0.4 P(C)= 0.2 P (A and B) = 0.1 P (A and C) =0.05 P (B and C)= 0.05 P (A and B and C) = 0

Make a Venn diagram of the events A, B, and C. Mark the probabilities of every intersection involving these events and their complements.