1. Calculate the expected utility of each of the two decision options for D condition on its past. Specify the corresponding optimal decision function.

2. Assume that it is optional to observe A before deciding on D. What is the value of information about A for decision D.

Some explanation with intermediate calculation etc. would be appreciated. Thanks in advance.

Consider the influence diagram defined by the graphical structure below together with the following conditional probability and utility tables: B U D A ai 02 0.8 B bi be b3 b4 0.1 0.2 0.25 0.45 0.5 0.3 0.1 0.1 P(BA) B bib2 bz ba di 100 90 200 d2 0 10 30 50 U(BD) ai 02 0.2 A D P(A) Consider the influence diagram defined by the graphical structure below together with the following conditional probability and utility tables: B U D A ai 02 0.8 B bi be b3 b4 0.1 0.2 0.25 0.45 0.5 0.3 0.1 0.1 P(BA) B bib2 bz ba di 100 90 200 d2 0 10 30 50 U(BD) ai 02 0.2 A D P(A)