Question: 3.13 Probability Bounds You are told that the average file size in a database is 6K. (a) Explain why it follows (from the definition of

3.13 Probability Bounds You are told that the average file size in a database is 6K.

(a) Explain why it follows (from the definition of expectation) that fewer than half of the files can have size > 12K.

(b) You are now given the additional information that the minimum file size is 3K. Derive a tighter upper bound on the percentage of files that have size > 12K

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