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Please help Q10: (10 marks) Evaluate the following integration using the probability density function (pdf) of Gamma distribution.: X 16 6 -3x x(1;, [It] marks]

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Q10: (10 marks) Evaluate the following integration using the probability density function (pdf) of Gamma distribution.: X 16 6 -3x x(1;, [It] marks] {a} {3 marks] The number of requests for assistance received by a towing service is a poisson process with rate rt. = 2 per hour. If the operator takes a 15-minute break, what is the probability that he does not mise anyr calls for assistance? [b] [This continues {a}: 3 marks} After realizing that he did not miss any calls for assistance1 the operator decides to take another [5-minute break. What is the probability that he will not miss any calls again? Hair: Want to determine P[un calls in time interval (1] . HI) | no calls in time interval { . 11'4\

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