4. Suppose 6 ~ Normal(0, 22) and y|0 ~ Normal(0,1). Then 0/4+y/1 _ 4y 1 _ 4 6'9 N0rmal(1/4+1/1 _ 5' 1/4+1/1 _ 5 and a 50% posterior interval for 0 is given by 0.83; i o1(0.75)0.s . Let Mg) and U (3;) denote the lower and upper bounds, respectively. (a) Suppose the true value of 9 is 1. What is the coverage of the posterior 50% interval for 9? That is, nd Pr{L(y)