Please write a program to solve 1.a) and plot the N pairs via graphing program (not by hand). Also estimate the value of pi/4 and then plot the estimates of vs N. Please provide source code for algorithm answer and computer generated graphs.

1. a) Write a program to generate N-pairs (u, vi), 1sis N uniformly distributed in the range [0, 1). Plot these N pairs on a unit square where the ith point has coordinates (u, vi), 1 sis N and N 103 b) Using the Monte Carlo method used in the class, estimate the value of Tt/4 using N pairs of samples: N- 103, 104, 105, 106. Plot the estimates vs N. 1. a) Write a program to generate N-pairs (u, vi), 1sis N uniformly distributed in the range [0, 1). Plot these N pairs on a unit square where the ith point has coordinates (u, vi), 1 sis N and N 103 b) Using the Monte Carlo method used in the class, estimate the value of Tt/4 using N pairs of samples: N- 103, 104, 105, 106. Plot the estimates vs N