Please submit answer via text on computer, for I have a hard time reading hand w

Question

Please submit answer via text on computer, for I have a hard time reading hand written submissions.

The time between requests to a web server is exponentially distribution with a mean of 0.5 second a. What is the value of 2.2 b. What is the median time between requests? c. What is the standard deviation? d. What is the 80th ? e. Find the probability that more than 1 second elapses between requests. f. If there has been no requests for the past two second, what is the probability that 4. percentile more than one additional second will elapse before the next request?

Explanation / Answer

a) Mean = 1,Therefore = 1/0.5 = 2

b) Median = 1ln(2) = 0.5 ln(2) = 0.3466

c) standard deviation = sqrt(2 ) = sqrt(1/2^2) = sqrt(1/4) = 1/2 = 0.5

d) percentile = -ln(1-p)/ = -ln(1-0.8)/2 = 0.8047

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