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Problems Consider an array of nine drives in which X0 through X7 contain data an parity disk. Provide an equation that describes the relationship between data and par- ity bits. 6.1 d X8 is the 62 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. Hint: This is a matter of determining the total number of combinations, recognizing that all track positions for the destination of the seek are equally likely b. Next, calculate the probability of a seek of length K. Hint: This involves the sum- ming over all possible combinations of movements of K tracks. Calculate the average number of tracks traversed by a seek, using the formula for expected value c. N-1 n(n + 1) n n(n + 1(2n Hint: Use the equalities: Σǐ=ー2 2 d. Show that for large values of N, the average number of tracks traversed by a seek 6 approaches N/3. Define the following for a disk system: 6.3 = seek time, average time to position head over track6.2 all parts please

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