X rr1illisecor1ds, the total access tirr1e (waiting time +
Chapter 9, Problem 9.5(choose chapter or problem)
X rr1illisecor1ds, the total access tirr1e (waiting time + read time) to get or1e block of information from a cornp11ter disk, is the contint1ot1s (0,12) randorr1 variable. Before performing a certa.in task, the cornputer rnt1st access 12 different blocks of inforrr1ation frorr1 the disk. (Access tirnes for different blocks are independer1t of one another.) The total access tirr1e for all the ir1forrr1ation is a randorn variable A rr1illiseconds. (a) Find the expected value and ve,uiance of t11e access tirne X . (b) Find the expected vaJt1e and standard deviatior1 of the total access time A. (c) Use t11e cer1tral lirnit t11eorerr1 to estirr1 ate P[A > 75 ms]. ( d) Use the central limit theorerr1 to estirnate P[A < 48 ms].
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