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## Homework Statement

Given 2 independent uniform random variables X,Y = U [0,1], consider the random variables Z = g (X,Y) for g = (x,y) = sqrt (-2ln(x) . cos(2piy). Since finding the distribution of g(X,Y) analytically is quite tough, I need to generate MATLAB program for

1 - 10,000 uniformly distributed random samples for X and Y

2 - For each sample of X and Y, compute Z= g(X,Y)

3 - Draw a histogram over the resulting samples in Z

4 - Estimate the moments mZ for n = 1,2....6.

## The Attempt at a Solution

I tried for the first solution and I'm hopelessly stuck. MATLAB gives me an error saying "Attempted to access (0,1); index must be a positive integer or logical."

I don't understand where I'm going wrong.

Please help!