Here are a statistic question

A box contain four marbles, O of them are white and 4-0 are black. One marble is selected at random and let X denote the number of white marble selected. Given that P(X =1|0) =- 4 P(X =0|0) =1-- 4 Suppose that you do not have any prior distribution biased towards a particular value of # and hence you adopt the uniform distribution on {0, 1, 2, 3, 4) . Assume that squared error loss function is used. (a) Find the Bayes estimates of 0. (10 marks) (b) Suppose that marbles cannot be all white in a box. That is either no white marble, one black marble and three white marbles, two black marbles and two white marbles or three black marbles and one white marble. Find the Bayes estimates of 0. (10 marks)