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4. A random variable X measuring the transfer time (in ms) between computers has a gamma distribution f(x; a, ß) with mean value u = 37.5 ms and standard deviation o = 21.6 ms. a) What are the values of the distribution parameters a and ß? b) What is the probability that the transfer time is between 50 and 75 ms? c) What is the 99'th percentile of the transfer time?

4. A random variable X measuring the transfer time (in ms) between computers has a gamma distribution f(x; a, ß) with mean value u = 37.5 ms and standard deviation o = 21.6 ms. a) What are the values of the distribution parameters a and ß? b) What is the probability that the transfer time is between 50 and 75 ms? c) What is the 99'th percentile of the transfer time?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Problem 4: Transfer Time Analysis** A random variable \(X\) measuring the transfer time (in milliseconds) between computers follows a gamma distribution \(f(x; \alpha, \beta)\) with a mean value \(\mu = 37.5\) ms and a standard deviation \(\sigma = 21.6\) ms. **Questions:** a) What are the values of the distribution parameters \(\alpha\) and \(\beta\)? b) What is the probability that the transfer time is between 50 ms and 75 ms? c) What is the 99th percentile of the transfer time?
Transcribed Image Text:**Problem 4: Transfer Time Analysis** A random variable \(X\) measuring the transfer time (in milliseconds) between computers follows a gamma distribution \(f(x; \alpha, \beta)\) with a mean value \(\mu = 37.5\) ms and a standard deviation \(\sigma = 21.6\) ms. **Questions:** a) What are the values of the distribution parameters \(\alpha\) and \(\beta\)? b) What is the probability that the transfer time is between 50 ms and 75 ms? c) What is the 99th percentile of the transfer time?
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