A parameter has a prior distribution which is No, ), and an observation x is N(0, 2) with known. An experimenter only retains x if 1x-Mol < 200 otherwise he takes an independent observation y which is also N(0, ) and ignores the value of x. Given the value of y and the knowledge that x-200 (but not what the value of x was), obtain the posterior distribution of 0. Sketch the form of this distribution when y = Po- (Wales Maths.)