Question: Please solve in R, Consider the density f(X) = [1-cos[x-theta]]/(2*Pi) on 0

Please solve in R,

Consider the density f(X) = [1-cos[x-theta]]/(2*Pi) on 0

3.91, 4.85, 2.28, 4.06, 3.70, 4.04. 5.46, 3.53. 2.28, 1.96, 2.53, 3.88, 2.22, 3.47, 4.82, 2.46, 2.99, 2.54, 0.52, and 2.50

We wish to use this data to estimate the parameter theta.

Problem 2. Find the MLE for theta using the Bisection Method correct to two decimal places. What was your initial interval? How many iterations did it take to converge? Does the method always converge to the correct value? Why or why not?

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