solve using R or R studio

1. For a parameter 0 > 0, we model the accuracy of a dart player by the Beta(0,1) density 0 if r0 if 1 S T for a continuous random variable X, the distance the dart is from the center of the board. a) For n observations, give the likelihood function. (b) Find the maximum likelihood estimate for observations xi, ,Fn (c) Give 10000 simulations of maximum likelihood estimates of based on the values -1/4 1/2.3/4 and n = 50, Give the mean and standard deviation of the simulation for both values of. (d) How do the means of your simulations compare to the actual values of . (e) How do the standard deviations compare to simulations from the method of moments estimate? 1. For a parameter 0 > 0, we model the accuracy of a dart player by the Beta(0,1) density 0 if r0 if 1 S T for a continuous random variable X, the distance the dart is from the center of the board. a) For n observations, give the likelihood function. (b) Find the maximum likelihood estimate for observations xi, ,Fn (c) Give 10000 simulations of maximum likelihood estimates of based on the values -1/4 1/2.3/4 and n = 50, Give the mean and standard deviation of the simulation for both values of. (d) How do the means of your simulations compare to the actual values of . (e) How do the standard deviations compare to simulations from the method of moments estimate