Problem 1 Consider the ind. data samples {x; } X Suppose that the data samples are drawn from a Geometric distribution with parameter u. The Geometric distribution takes the form p(x) = (1 - u*-! Answer the following questions: 1. Find the MLE estimate for the parameter u assuming a Geometric data likelihood. 2. Assuming a Beta distribution as the prior distribution on the parameter y, find the MAP estimate for the parameter u. The Beta distribution takes the form ( + ) Beta(x]a,b) = x-1(1 - x)8-1 )() where I(x) = (x - 1)! and a, B > 0 Show your work. Note: there is no need to type your answer using LaTeX. Answer this question on paper and then upload a picture/scan of your work