George is known to always be able to help people with their...

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IND ENG 173 Second Midterm Exam Solutions Introduction to Stochastic Processes March 23rd, 2017 Prof. Mariana Olvera-Cravioto Page 1 of 6 Second Midterm Exam Solutions Place all answers on the question sheet provided. The exam is open textbook and open notes/handouts/homework. You are allowed to use a calculator, but not a computer, tablet or smartphone. Write all answers clearly and in complete sentences. All answers should be supported by analysis or an argument. This exam has a total of 50 points. First Name: Last Name: 1(a) 1(b) 1(c) 1(d) 2(a) 2(b) 2(c) Total Honor Code I resolve i ) not to give or receive aid during this examination, and ii ) to take an active part in seeing that other students uphold this Honor Code. Signature:
2 IND ENG 173, Second Midterm Exam Solutions 1. George is known to always be able to help people with their computer problems. His friends and work-colleagues request his help at times that follow a Poisson process with rate 1/24 per hour, i.e. one per day, and each time he helps somebody he has to stop his own work for a uniform amount of time between [1 / 2 , 2], i.e., between 30 min to two hours. The only times

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