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 artic "Computation Time of Grid Computing with Data Transfer Times that Follow a Gamma Distribution,"+). (a) What are the values of a and s? (Round your answers to four decimal places.) a- 3.0141 - 12 4410 (b) What is the probability that data transfer time exceeds 51 ms? (Round your answer to three decimal places.) 0 265 (c) What is the probability that data transfer time is between 51 and 79 ms? (Round your answer to three decimal places.) 0210

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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, "t).
(a) What are the values of a and 8? (Round your answers to four decimal places.)
a = 3.0141
B = 12.4416
(b) what is the probability that data transfer time exceeds 51 ms? (Round your answer to three decimal places.)
0.265
(c) What is the probability that data transfer time is between 51 and 79 ms? (Round your answer to three decimal places.)
0.210
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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, "t). (a) What are the values of a and 8? (Round your answers to four decimal places.) a = 3.0141 B = 12.4416 (b) what is the probability that data transfer time exceeds 51 ms? (Round your answer to three decimal places.) 0.265 (c) What is the probability that data transfer time is between 51 and 79 ms? (Round your answer to three decimal places.) 0.210 You may need to use the appropriate table in the Appendix of Tables to answer this question.
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