You have a friend visiting Seattle tomorrow. You want to make a dinner reservation for either patio or indoor seating. The weather forecast says it will rain with a 60% probability. Your friend's satisfaction will be as follows. You can switch the reservation to the other seating option tomorrow, depending on the weather, but then your friend's satisfaction will be deducted by 20 due to a waiting time. A) Imagine this is a game between you and the weather. Complete the following game tree by describing what each node/edge represents and filling the terminal values. ( 3 points) B) Fill in the values for interior nodes based on Expectimax search, and decide on whether you will reserve the patio or indoor seating. (3 points) C) Suppose it will rain with probability p (instead of 60 ). Find the range of p that will change the optimal decision for the root max node. (3 Points) D) Suppose it will rain with probability 60 , but the deduction to the satisfaction if you change the reservation from indoor seating to patio is d (instead of 20). Find the range of d that will change the optimal decision for the root max node. (4 Points)