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It has been shown by analysis of measurements data that file sizes in bytes on Unix based WWW servers follow a Pareto distribution as shown below with a = 1.2

F(x) = 1 - (2730/x)a x > 2730

(a) What is the median file size in bytes

(b) What is the percentage of files that are between 6K bytes and 8K bytes.

(c) Assuming that an IP packet has a maximum 900 byte payload, determine the following. What is the probability that a file transfer requires more than 10 packets? repeat for 100 or more?

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  • Category:- Statistics and Probability
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