Can you kindly assist me and please please show ALL WORKING and any formula used . Thank you so much .

1. Dorothy Stanyard has three major routes to take to work. She can take Tennessee Street the entire way, she can take several back streets to work, or she can use the expressway. The traffic patterns are very complex, however. Under good conditions, Tennessee Street is the fastest route. When Tennessee is congested, one of the other routes is usually preferable. Over the past two months, Dorothy has tried each route several times under different traffic conditions. This information is summarized in minutes of travel time to work in the following table: no mild severe traffic traffic traffic opti- pessi- realism equally mini- (minutes) (minutes) (minutes) mistic mistic a = 0.6 likely max Tenn. St. 15 30 45 45 15 a 30 d Back roads 20 25 35 35 20 b 26.67 Expressway 30 30 30 30 30 C 30 f Probability 33 15 12 60 60 60 Choice g h k (a) Find the values of a, b, . . . , k. You do not need to rewrite the entire table on your answer sheet. [15 pts] (b) What route should Dorothy take if she wants to minimize average drive time? [5 pts] (c) Given the probabilities, find the maximum EMV. [10 pts]