Question: this has to be written using python. Compute by a Monte Carlo Method 3 points Monte Carlo methods are any numerical methods determined by the


this has to be written using python.
Compute by a Monte Carlo Method 3 points Monte Carlo methods are any numerical methods determined by the use of random numbers in processes ke radioactive decay of a particle or the likelihood of a single molecule to react. (Note that the physical processes aren't called "Monte Carlo", only the numerical methods using random numbers.) We will use a random method, called Buffon's Needle, to estimate the value of R. Consider a circle inscribed inside of a square. If the circle has unit radius, 1, then its area A nr 2 n. The square in which it is inscribed has vertices (-1 1), (+1 1), (+1,+1), (-1,+1) with area A 2x2 4 2. We can thus use ncircle as a proxy for Acircle and treat the square similarly. If you consider throwing a dart at the square, the probability that it lands inside of the circle is Compose a function mc pi n) to estimate the value of using the Buffon's Needle method n describes the number of points to be used in the simulation. mc pi should return its estimate of the value of as a float. Your process should look like the following: 1. Prepare an array of coordinate pairs xy This should be of shape n,2 selected from an appropriate distribution (see notes 1 and 2 below)
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