Question

1) Suppose an algorithm has 6 types of input given by S = {I_1, I_2, ...,...

1) Suppose an algorithm has 6 types of input given by S = {I_1, I_2, ..., I_6}. Suppose the inputs occur with the following probabilities:   P(I_2) = P(I_3) = P(I_4) = 1/12, P(I_5) = P(I_6) = 1/6, and P(I_1) = 5/12.

Suppose further that each input "I_n" (n = 1,2,3,4,5,6) causes the algorithm to execute "5n" instructions. What is the expected number of instructions executed by the algorithm?

2) When three fair dice are tossed, what is the probability that the sum of the dots is 10?

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