Let X be a continuous random variable with probability density function fx, and let g: R → R be a continuous real valued function defined on the real numbers. The Law Large Number (LLN) says E-1 9(X;) → E[g(X)] = L, g(x) fx(x)dx, リ= as n → 0, where {X¡}. are independent identically distributed (iid) samples of X. j=1 (a) Use rand and the LLN to approximate , sin x dx and check your approximation against the true value of the integral as you take n larger and larger. (Hint: If

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A: Step 1:Step 2:

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