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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 3? (Round your answers to four decimal places.) α = ß = (b) What is the probability that data transfer time exceeds 48 ms? (Round your answer to three decimal places.) (c) What is the probability that data transfer time is between 48 and 72 ms? (Round your answer to three decimal places.)

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 3? (Round your answers to four decimal places.) α = ß = (b) What is the probability that data transfer time exceeds 48 ms? (Round your answer to three decimal places.) (c) What is the probability that data transfer time is between 48 and 72 ms? (Round your answer to three decimal places.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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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 = ß = (b) What is the probability that data transfer time exceeds 48 ms? (Round your answer to three decimal places.) (c) What is the probability that data transfer time is between 48 and 72 ms? (Round your answer to three decimal places.)
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 = ß = (b) What is the probability that data transfer time exceeds 48 ms? (Round your answer to three decimal places.) (c) What is the probability that data transfer time is between 48 and 72 ms? (Round your answer to three decimal places.)
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