Calculate the average number of tracks traversed by a seek

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Reference no: EM131211995

Consider a disk with N tracks numbered from 0 to (N - 1) and assume that requested sectors are distributed randomly and evenly over the disk. We want to calculate the average number of tracks traversed by a seek.

a. First, calculate the probability of a seek of length j when the head is currently positioned over track t.

b. Next, calculate the probability of a seek of length K.

c. Calculate the average number of tracks traversed by a seek, using the formula for expected value

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d. Show that for large values of N, the average number of tracks traversed by a seek approaches N/3.

Reference no: EM131211995

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