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In: Statistics and Probability

The time T between requests to a web server is exponentially distributed with mean 0.5 seconds....

The time T between requests to a web server is exponentially distributed with mean 0.5 seconds.

(a) What is the value of the parameter in this exponential distribution? Give the p.d.f. and c.d.f. of T? [2]

(b) Use the c.d.f. of T to find the median request time and interpret it. [3]

(c) What is the probability that the request time is between 0.25 and 1.5 seconds? [1](

d) Find the 60th percentile of the request time and interpret it. [2]

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