a) What is the difference between the likelihood density function and the a posteriori density function.

b) Let x=s+n, where the observed random variable is 'x'. 's' is a random parameter independent of the added random noise 'n'. The probability density of 'n' is given by p(n) = 2 e2 (n-1) u(n - 1) and the probability density of the parameter 's' is given by P{s) = 1/8 s [u(s) - u(s-4)].

i) Get Sms ii) Get Smap

ii) Does 's' have a Sml. Why or why not?