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Consider a pool of six I/O (input/output) buffers. Assume that any buffer is justas
Chapter 1, Problem 2(choose chapter or problem)
Consider a pool of six I/O (input/output) buffers. Assume that any buffer is justas likely to be available (or occupied) as any other. Compute the probabilitiesassociated with the following events:A = at least 2 but no more than 5 buffers occupied.B = at least 3 but no more than 5 occupied.C = all buffers available or an even number of buffers occupied.Also determine the probability that at least one of the events A, B, and C occurs.
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QUESTION:
Consider a pool of six I/O (input/output) buffers. Assume that any buffer is justas likely to be available (or occupied) as any other. Compute the probabilitiesassociated with the following events:A = at least 2 but no more than 5 buffers occupied.B = at least 3 but no more than 5 occupied.C = all buffers available or an even number of buffers occupied.Also determine the probability that at least one of the events A, B, and C occurs.
ANSWER:A = (1/64) + (6/64) + (15/64) + (20/64) + (15/64) = 57/64
B = (6/64) + (15/64) + (20/64)