What is the optimal decision strategy, and what is the expected travel time? To

Question

What is the optimal decision strategy, and what is the expected travel time?
To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and from
work. Rona preferred to use the somewhat longer but more consistent Queen City Avenue.
Although Jerry preferred the quicker expressway, he agreed with Rona that they should
take Queen City Avenue if the expressway had a traffic jam. The following payoff table
provides the one-way time estimate in minutes for traveling to and from work.
State of Nature
Expressway Expressway
Open Jammed
Decision Alternative s1 s2
Queen City Avenue, d1 30 30
Expressway, d2 25 45
Based on their experience with traffic problems, Rona and Jerry agreed on a .15 probability
that the expressway would be jammed.
In addition, they agreed that weather seemed to affect the traffic conditions on the
expressway. LetC =clear
O =overcast
R =rain
The following conditional probabilities apply.
a. Use Bayes

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