1. A patient arriving at a medical centre is in one of two possible health states: healthy 1, or sick 2. The doctor treating the patient has two possible actions: to do nothing (action a1) or to send the patient for surgery (action a2). The losses, in appropriated units, for each combination of health and action are set out in the following table a1 a2 1 8 1 2 1 5 (a) Show that a1 does not dominate a2 and vice versa [ 2 marks ] (b) Suppose the doctor believes that the patient is healthy with probability , and sick with probability (1 ). Show that a1 is Bayes if 0 4/13.

https://disposable.link/.9f37742a29bb419d24039bff101369c1#820cc3505f2001ad9283e454c6066eeb