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This problem is also a Monte Carlo simulation, but this time in the continuous domain: must...

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Basic Math

This problem is also a Monte Carlo simulation, but this time inthe continuous domain: must use the following fact: a circleinscribed in a unit square

has as radius of 0.5 and an area of ??(0.52)=?4.??(0.52)=?4.

Therefore, if you generate num_trials random points in the unitsquare, and count how many land inside the circle, you cancalculate an approximation of ?

For this problem, you must create code in python

(B) Without drawing the diagram, calculate the value of ? youwould get from 105 trials.

(C) After completing (B), try to get a more accurate value for ?by increasing the number of trials.The results will depend on yourmachine

Answer & Explanation Solved by verified expert
4.3 Ratings (888 Votes)
import numpy as npimport    See Answer
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