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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.
Evaluate following limits. Solution Here the first two parts are actually just the basic limits including inverse tangents and can easily be found by verifying the fol
Define Markov chain Random processes with Markov property which takes separate values, whether t is discrete or continuous, are known as Markov chains.
(x*1)+(x*7) =
Consider the Van der Pol oscillator x′′- µ(1 - x 2 )x′ + x = 0 (a) Write this equation as a system of first order equations (b) Taking µ = 2, use MatLab's routine ode45 to
1. Using given data set (Assignment_1data in the folder) a) Make scatterplot between "Years since first marriage" and "Total children ever born" b) Make scatterplot between
A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between two vessels is fi
y=mx+c
Hi, I really need an idea and a layout on where i should take my Maths assignment. This is for Year 12, and i want to focus on Maths in Music. It has to be at least 6 to 12 pages l
Here is not too much to this section. We're here going to work an illustration to exemplify how Laplace transforms can be used to solve systems of differential equations. Illus
25 algebraic equations that equal 36
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