Question: I'm stuck in the question solve this question quickly Monte Carlo algorithms are extremely simple and powerful: we use repeated random sampling to rapidly determine

I'm stuck in the question solve this question quickly

I'm stuck in the question solve this question
Monte Carlo algorithms are extremely simple and powerful: we use repeated random sampling to rapidly determine an excellent approximation to an exact probability. In class, we saw how a simple Monte Carlo algorithm could estimate 17 with extreme precision. For each of (a), (b), (c) below, you will submit a computer program (in the programming language of your choice), where you estimate the correct answer via a Monte Carlo analysis. You will get full marks if you clearly document how and why your program works, and obtain a probability that diers from the correct answer by at most 0.1%. Please label your computer program appropriately (e.g. Mwaura25.py) and submit it along with your solution to part ((1) below (e.g. Mwaura2-5.pdf). Consider an regular polygon with in. equal sides (this is known as an \"ngon\"). Pick any point P, at random, inside this ngon. Let C be the centre of the n-gon, and let Q be the point on the ngon's perimeter that is closest to P (note that this implies that PQ is perpendicular to the side containing Q). (a) Let n = 4. Estimate the probability that PC 0:), determine the exact probability that PC

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