Question: a) Write a program to generate N-pairs (ui, vi), 1 i N uniformly distributed in the range [0, 1). Plot these N pairs on a

a) Write a program to generate N-pairs (ui, vi), 1 i N uniformly distributed in the range [0, 1).

Plot these N pairs on a unit square where the ith point has coordinates (ui, vi), 1 i N and N= 103.

b) Using the Monte Carlo method, estimate the value of /4 using N pairs of samples: N= 103, 104, 105, 106. Plot the estimates vs N.

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