Question 1 (Simplified vaccination program)

You are trying to decide whether to implement vaccination program for pertussis (commonly known as whooping cough). The extensive form decision tree is given below

Individual Vaccinate Don't vaccinate Adverse reaction No adverse reaction Pertussis No pertussis Prob = a Prob = 1 - a Prob = Y Prob = 1 - Y Pertussis No pertussis Pertussis No pertussis Prob = B Prob = 1 - B Prob = B Prob = 1 - B