State the conditions by which a Poisson distribution model may be suitable for a given random variable X.
The events recorded by X occur randomly, independently, singly in space and time and at a constant average rate (an average (mean) rate proportional to the length of the interval).
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Let I(n) = integral from 1 to e of (ln(x)^n)/(x^2) dx where n is a natural number. Firstly find I(0). Show that I(n) = -(1/e) + n*I(n-1). Using this formula find I(1).
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