Question: statistics & propability Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a worker

statistics & propability

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.) a = 3.0141 B = 12.4416 (b) What is the probability that data transfer time exceeds 54 ms? (Round your answer to three decimal places.) (c) What is the probability that data transfer time is between 54 and 71 ms? (Round your answer to three decimal places.)

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