Suppose that customers arrive at a fast food restaurant according to a Poisson process with a...
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Suppose that customers arrive at a fast food restaurant according to a Poisson process with a rate of 15 customers per hour. Let N(t) be the number of customers that arrived up to time t, in hours. (1) Determine Pr{N(1) = 8}. (ii) Find the probability that at most one customer arrives at the restaurant in an hour. (iii) The restaurant opens at 8 am. If 10 customers arrived by 9 am, what is the probability that a total of 20 customers arrives by 11 am? (3 marks) (4 marks) (6 marks) Suppose that customers arrive at a fast food restaurant according to a Poisson process with a rate of 15 customers per hour. Let N(t) be the number of customers that arrived up to time t, in hours. (1) Determine Pr{N(1) = 8}. (ii) Find the probability that at most one customer arrives at the restaurant in an hour. (iii) The restaurant opens at 8 am. If 10 customers arrived by 9 am, what is the probability that a total of 20 customers arrives by 11 am? (3 marks) (4 marks) (6 marks)
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To solve the given problems on the Poisson distribution well use the Poisson probability formula PX ... View the full answer
Related Book For
Management Accounting Information for Decision-Making and Strategy Execution
ISBN: 978-0137024971
6th Edition
Authors: Anthony A. Atkinson, Robert S. Kaplan, Ella Mae Matsumura, S. Mark Young
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