Consider the likelihood of the expression in the picture. Find the MLE of theta given an observation x.

(a) Consider the likelihood p(x)=21exp(2x12221(x1x2)2log), where x=[x1x2] and >0. Find the MLE of given an observation x. (b) Suppose we choose a prior distribution p()=N(0,1). Find the MAP estimate of . Hint: The solution of a quadratic equation ax2+bx+c=0 is given by x=2abb24ac