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Suppose that we have a Poisson customer source, which has an arrival rate of 10 customers per hour.a. What probability distribution does the number of customer arrivals follow at time t?Write out the probability when we have n customer arrivals at time t.How many customers are expected during an 8-hour day?What is the probability of having at 3 customers within one hour?b. What probability distribution does the nth customer arrival time follow?Write out is probability density function.What time do you expect to welcome the 8th customer?What is the probability you have 8 customers in one hour?c. What probability distribution does the inter-arrival time follow?What is the expected inter-arrival time between nth and n+1th customer.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
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