Modify the Matlab Code which uses a "while" loop to compute pi to a fixed level of precision.

a=0; % the experiment event number c=0; % sucessful event number r =1; % redius of the circle min_tries = 100;

pi_prev = 1000; precision = 0.00001;

while (true) s = 2 * r * (rand() - 0.5); %get a point between -1 to +1 t = 2 * r * (rand() - 0.5); a = a+1; pi_sim = 4 * c / a; pi_diff = abs(pi_prev - pi_sim); pi_prev = pi_sim; if (pi_diff <= precision && a>min_tries) break; end

if ((s.^2+t.^2)<=r^2) c = c+1; end end

fprintf("estimated value of pi is %f", pi_prev);

Modify the code to include four features:

1) FUnction that takes user defined level of precision as input

2) The final computed value of pi, written out to the user-specified precision, should be both displayed in the command window and printed on the plot.

3) The computed value of pi should be returned by the function.

4) A graph that plots the random points as they are made with pts inside the circle in a different color than those outside the circle