ion tree, what is the expected value for
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- Define the term "apriori pruning principle" if you like. Please provide an illustration of this.Consider the following experiment:0. Set the counter n to 1.1. Toss a fair coin and record the result. Then,• if it comes up heads, toss the coin once more and record the result, then end the experiment;• if it comes up tails and n ≤ 4, add 1 to n and repeat step 1;• if it comes up tails and n = 5, end the experiment. 1. Draw the complete tree diagram for this experiment. 2. What are the sample space and probability function of this experiment? 3. What is the probability that . . . a. the final toss is a tail? b. the next-to-last toss is a head? The random variable X counts the number of tosses made in this experiment. 4. What are the possible values of X and the probabilities that each will occur? 5. What is the probability that . . .a. X is an even number? b. X is at least four?Build the d table for the following graph if you use the breadth first search and start from node s. Remember that we use the alphabetical order rule Assume the blanks/boxes are for the following nodes. Each blank/box is for one node. starting from node r followed by s, t, u, v, w, x, and y, respectively. S t и V W y