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September 2008 - Question 7

J

jm_kinuthia

Member
Someone kindly explain what part 1 of this question is asking as i can't relate it to any section in chapter 14. Also, please explain to me the logic behind their solution.
 
This question was hard and I can't find anything on it in the Core Reading either!

The integral given is the average height of the graph of the function
y = exp(x) - 1 for 0<x<1

So we can estimate its value by sampling (randomly but evenly) a large number of times over the range and calculating the average:

Generate ui values from U(0,1)

and then take [sum of exp(ui) - 1 ]/ n

Hope this helps,
John
 
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