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1. Suppose the arrival times of phone calls in a help centre follow a Poisson process with rate 20 per hour (so the inter-arrival times are independent exponential random variables). Management are interested in simulating the arrival process in order to decide whether to employ a new customers services representative.
(a) Use the internet or a text book to find an example of a congruential unit random number generator that is different to the one given in the lecture notes and lab exercises.
(b) Use your random number generator to explain why random numbers generated on a computer are called 'pseudo random numbers'.
(c) Use your random number generator to generate 3 unit random numbers. State what 'seed' is used and explain how this can be used to repeat simulation experiments.
(d) Assuming the memory less property and a starting time of 1pm, use your simulated unit random numbers above to generate the arrival times of the next 3 calls arriving at the centre.
The sides of a triangle are x^(2 )+x+1, 2x+1,x^2-1, prove that the largest angle is 120 degrees, and find range of x. Ans) The biggest side is x^(2) + x + 1 so findout the angl
Kristen earns $550 each week after taxes. She deposits 10% of her income in a savings account and 7% in a retirement fund. How much does Kristen have left after the money is taken
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In the adjoining figure a dart is thrown at the dart board and lands in the interior of the circle. What is the probability that the dart will land in the shaded region. A
Sketch the graph of y = ( x -1) 2 - 4 . Solution Now, it is a parabola .Though, we haven't gotten that far yet and thus we will have to select
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Iran is trying to decide whether it should pursue its nuclear weapons program, and its decision will be affected in large measure by what it expects the United States to do. Your a
Which expression has an answer of 18? Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. T
How should Shoppers’ Stop develop its demand forecasts?
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