Derive the expression for the pdf of, Applied Statistics

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Derive the expression for the pdf of

Let θ be a random angle uniformly distributed between 0 and 2π.

a) Derive the expression for the PDF of X = sinθ.

Using Matlab make a plot of it. Explain one method of checking to make sure that

your derivation is correct.

b) Using MCS derive the PDF of X = sinθ.

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Applied Statistics: Derive the expression for the pdf of

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