Consider the integral 1 = Jx 8(x, y) dx dy, where X = {(x, y): 0 < x 2,0 < y < 1} = [0, 1/2] × [0, 1] and Sxe' sin?(x + ny/2), (x, y) e X 10, g(x, y) : otherwise (a) Construct and implement an independent Monte Carlo sampling plan to estimate 1 consist- ing of n = 106 independent samples from the uniform distribution on X: 2/T, (x, y) e X 0, w(x, y) = otherwise.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Consider the integral 1 = fx 8(x, y) dx dy, where X = {(x, y) : 0 < x <n/2,0 < y < 1} =
[0, t/2] x [0, 1] and
хеУ sin? (x + лу /2), (х, у) € X
8 (х, у) :
'0,
otherwise
(a) Construct and implement an independent Monte Carlo sampling plan to estimate a consist-
ing of n
10° independent samples from the uniform distribution on X:
2/π, ( x y) ε Χ
10,
w(x, y)
otherwise.
Transcribed Image Text:Consider the integral 1 = fx 8(x, y) dx dy, where X = {(x, y) : 0 < x <n/2,0 < y < 1} = [0, t/2] x [0, 1] and хеУ sin? (x + лу /2), (х, у) € X 8 (х, у) : '0, otherwise (a) Construct and implement an independent Monte Carlo sampling plan to estimate a consist- ing of n 10° independent samples from the uniform distribution on X: 2/π, ( x y) ε Χ 10, w(x, y) otherwise.
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