1. Use the Monte Carlo method to estimate the following: Jo exp(exp(x)) dx this easy version of the Monte Carlo method, uses the law of large numbers: Law of Large Numbers: if {X; } are i.i.d. UNiform on [0, 1], n Σh(X;) → i=1 ["₁ The more complete Monte Carlo method allows to compute h(x)dx = E(h(X)) ["h h(x)f(x)dx = E(h(X)) for other random variebles, not only Uniform. Monte Carlo uses a Markov chain to generate sapling from the "steady state" distribution. See slides attached. In this problem, you are only asked to try the Law of Large Numbers.

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