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5. If necessary, the number = 3.141593 can be estimated by a simple simulation experiment. The area of a square of unit sides equals l.

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5. If necessary, the number = 3.141593 can be estimated by a simple simulation experiment. The area of a square of unit sides equals l. A circle of radius r = 1 /2 can be embedded in this square. The area of a circle is . write an R function which does the following. (a) Create an n2 matrix, such that each row contains the coordinates of a point uniformly distributed in a unit square centered at (0,0) (b) Count the number of such points contained in the embedded circle described above. Call this number m (c) Use the numbers m and n to estimate . You can set n = 10000

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