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On each day t of n days, N customers of a supermarket were sampled and the number Xt expressing dissatisfaction was recorded. The results suggested that there were good and bad days for customer satisfaction.
(a) What kind of results might have led to this conclusion?
(b) What kind of model of Xt might be used?
(c) Derive expressions for the mean and variance of Xt under this model?
(d) Write down the likelihood of this model.
(e) What parameter constraints apply to this model?
(f) Suggest a reparameterisation for this model, explaining your reasoning.
Determine all possible solutions to the subsequent IVP. y' = y ? y(0) = 0 Solution : First, see that this differential equation does NOT satisfy the conditions of the th
Players and spectators enter a ballpark according to independent Poisson processes having respective rates 5 and 20 per hour. Starting at an arbitrary time, compute the probability
Rules of Integration 1. If 'k' is a constant then ∫Kdx = kx + c 2. In
The population of the village is 5000. If in a year, the number of males were to increase by 5% and that of a female by 3% annually, the population would grow to 5202 at the end o
Find the sum of all 3 digit numbers which leave remainder 3 when divided by 5. Ans: 103, 108..........998 a + (n-1)d = 998
If the sides angles of a triangle ABC vary in such a way that it''s circum - radius remain constant. Prove that, da/cos A +db/cos B+dc/cos C=0
what is the difference between North America''s part of the total population and Africa''s part
2x+57=65 find x
Find the relation between x and y when the point (x,y) lies on the straight line joining the points (2,-3) and (1,4) [ Hint: Use area of triangle is 0] Ans : Hint: If the poi
We are until now going to suppose that there will be no external forces acting on the system, along with the exception of damping obviously. Under this case the differential equati
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