In our analysis of the wumpus world, we used the fact that each square contains a pit with probability 0.2, independently of the contents of the other squares. Suppose instead that exactly N/5 pits are scattered uniformly at random among the N squares other than [1, 1]. Are the variables P and P i, j and P k, l still independent? What is the joint distribution P (P1, 1..., P4, 4) now? Redo the calculation for the probabilities of pits in [1.3] and [2.2].
Answer to relevant QuestionsConsider the network for car diagnosis shown in Figure.a. Extend the network with the Boolean variables Icy Weather and Starter Motor.b. Give reasonable conditional probability tables for all the nodes.c. How many ...This exercise is concerned with the variable elimination algorithm in Figure. a. Section 14.4 applies variable elimination t the query P (Burglary│JohnCalls = true, Mary Calls = true). Perform the calculations ...Show that any second-order Markov process can be rewritten as a first-order Markov process with an augmented set of state variables. Can this always he done parsimoniously that is, without increasing the number of parameters ...Consider applying the variable elimination algorithm to the umbrella DBN unrolled for three slices, where the query is P( R3│U1,U2,U3), Show that the complexity of the algorithm—the size of the largest factor—is ...Repeat Exercise 16.8, using the action-utility representation shown inFigure.
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