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Computer programs are classified by the length of the source code and by the execution time. Programs with more than 150 lines in the source code are big (B). Programs with ≤ 150 lines are little (L). Fast programs (F) run in less than 0.1 seconds. Slow programs (W) require at least 0.1 seconds. Monitor a program executed by a computer. Observe the length of the source code and the run time. The probability model for this experiment contains the following information: P[L F] = 0.5, P[B F] = 0.2, and P[BW] = 0.2. What is the sample space of the experiment? Calculate the following probabilities:
(a) P[W]
(b) P[B]
(c) P[W ∪ B]
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Assuming that the initial values of the cache tags and the cache lines are completely arbitrary, Also, show how the cache tags will change for each of the above steps. You should justify your answer.
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