LetX denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker'I computer and a \"master" computer). Suppose thatX 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,"'r). (a) What are the Values of a and 1?? (Round your answers to four decimal places.) e: (b) What is the probability that data transfer time exceeds 47 ms? (Round your answer to three decimal places.) E (c) What is the probability that data transfer time is between 47 and 77 ms? (Round your answer to three decimal places.) E