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( based on 6 . 1 2 from UsingR ) We can use probability to estimate a value of . Pick a point at random
based on from UsingR We can use probability to estimate a value
of Pick a point at random from a square of side length centered at the
origin. Inside the square draw a circle of radius The probability that
the point is inside the circle is equal to the area of the circle divided by the
area of the square: pi pi We can simulate the probability
and then multiply by to estimate pi The simulation could be done with
following command:
n ; x runifn
y runifn;sumx yn
Do a simulation to estimate pi What do you get? Use the binomial model
and the known value of pi to find the standard deviation of the random
variable you estimated.
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