# IE143-SQ06 - University of the Philippines Diliman...

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University of the Philippines – Diliman Department of Industrial Engineering and Operations Research IE 143 Short Quiz Short Quiz 6 – Class 2 10 out of 10 All answers and relevant solutions should be written at the back of this questionnaire. 1. Write the limit that the function o(τ), used in defining the Poisson process, must satisfy. (1 point) 2. Consider a Poisson process with λ = 3 arrivals per minute. Compute the following: (1 point each) a. Probability of no arrivals in 5 minutes. b. Probability of at least one arrival in 5 minutes. c. Probability that the first arrival occurs in less than 5 minutes. d. Probability that the first arrival occurs between 5 and 10 minutes from the start of the experiment. e. Probability that the 3 rd arrival occurs between 5 and 10 minutes from the start of the experiment. 3. Continuing Number 2, suppose that each arrival has a probability of 0.7 of being counted as an arrival in process A and 0.3 of being counted as an arrival in process B. Assume arrivals in processes A and B come only from the arrivals in the original Poisson process. (1 point each) a. What is the arrival rate in process B? b.

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## This note was uploaded on 05/19/2011 for the course IE 2 taught by Professor A during the Spring '11 term at University of the Philippines Diliman.

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IE143-SQ06 - University of the Philippines Diliman...

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