The mean time to retrieve a record from an online database is 222 milliseconds with a standard deviation of 62 milliseconds. The design criterion requires that at least 80% of all retrieval times must not differ from the mean by more than 83 milliseconds. a) Use Chebyshev's inequality to establish whether the design criterion is satisfied. b) Would the design criterion be satisfied if it were known that the retrieval time is normally distributed with a mean of 222 milliseconds and a standard deviation of 62 milliseconds?
Added by Victor Manuel L.
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In this case, we want to find the value of k such that 83 milliseconds is within k standard deviations of the mean. Show more…
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