Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer). Suppose that X has a gamma distribution with mean value 37.5 ms and standard deviation 21.6 (suggested by the article "Computation Time of Grid Computing with Data Transfer Times that Follow a Gamma Distribution,"+). (a) What are the values of a and B? (Round your answers to four decimal places.) α = B = (b) What is the probability that data transfer time exceeds 50 ms? (Round your answer to three decimal places.) (c) What is the probability that data transfer time between 50 and 78 ms? (Round your answer to three decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer). Suppose that X has a gamma distribution with mean value 37.5 ms and standard deviation 21.6 (suggested by the article "Computation Time of Grid Computing with Data Transfer Times that Follow a Gamma Distribution,"+). (a) What are the values of a and B? (Round your answers to four decimal places.) α = B = (b) What is the probability that data transfer time exceeds 50 ms? (Round your answer to three decimal places.) (c) What is the probability that data transfer time between 50 and 78 ms? (Round your answer to three decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
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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![Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer). Suppose that X has a gamma
distribution with mean value 37.5 ms and standard deviation 21.6 (suggested by the article "Computation Time of Grid Computing with Data Transfer Times that Follow a Gamma Distribution,"+).
(a) What are the values of a and ß? (Round your answers to four decimal places.)
α =
В
(b) What is the probability that data transfer time exceeds 50 ms? (Round your answer to three decimal places.)
(c) What is the probability that data transfer time is between 50 and 78 ms? (Round your answer to three decimal places.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd79493b1-14cc-430d-91fe-57595b5dae23%2F03c26395-9ca5-4e36-8ae8-4c5b59197a7f%2Fbf03pmf_processed.png&w=3840&q=75)
Transcribed Image Text:Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer). Suppose that X has a gamma
distribution with mean value 37.5 ms and standard deviation 21.6 (suggested by the article "Computation Time of Grid Computing with Data Transfer Times that Follow a Gamma Distribution,"+).
(a) What are the values of a and ß? (Round your answers to four decimal places.)
α =
В
(b) What is the probability that data transfer time exceeds 50 ms? (Round your answer to three decimal places.)
(c) What is the probability that data transfer time is between 50 and 78 ms? (Round your answer to three decimal places.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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