! [original image (https://cdn.mathpix.com/snip/images/04qumr JVxf9gucBSIPLFTJq3ALOePfXpPjmzqknVmw.original.fullsize.png > ! [original image (https://cdn.mathpix.com/snip/images/k3D9A2bg5fNFb21Fzu6Ikxdtkj96Kqc0 10g tmTKvsnu.original.fullsize.png (a) First, randomly generate $$ points $(x, y)$ which follow a uniform distribution inside of the square. (b) iterate through each of the points generated. For each point, check if it falls inside of the bounds of the circle and keep a tally. You can keep a tally of points in the circle by initiating a variable $c$ and increment it by 1 every time a point satisfies your condition. Give your estimate of $\pi$ for the following total number of points in the distribution: $N=100, 1000, 10000$. Generate scatter plots for each case and give distinct colors to the points which fall on either side of the boundary of the circle. SE.SD.001