Guys, parts (b) and (c) in this solution that you have sent me twice is incorrect https://www.bartleby.com/questions-and-answers/need-b-and-c-let-x-denote-the-data-transfer-time-ms-in-a-grid-computing-system-the-time-required-for/e668c020-24db-4af6-963f-0cb084b49afb. Need help with calculation of gamma probability distribution (b and c).   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 α and β? (Round your answers to four decimal places.) α= 3.0141 β= 12.4416 (b) What is the probability that data transfer time exceeds 47 ms? (Round your answer to three decimal places.)   (c) What is the probability that data transfer time is between 47 and 76 ms? (Round your answer to three decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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Guys, parts (b) and (c) in this solution that you have sent me twice is incorrect https://www.bartleby.com/questions-and-answers/need-b-and-c-let-x-denote-the-data-transfer-time-ms-in-a-grid-computing-system-the-time-required-for/e668c020-24db-4af6-963f-0cb084b49afb. Need help with calculation of gamma probability distribution (b and c).

 

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 α and β? (Round your answers to four decimal places.)
α= 3.0141
β= 12.4416
(b)
What is the probability that data transfer time exceeds 47 ms? (Round your answer to three decimal places.)
 
(c)
What is the probability that data transfer time is between 47 and 76 ms? (Round your answer to three decimal places.)
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