onsider the following system:
x(k) = x(k - 1) + v(k - 1)
z(k) = x(k) + w(k)
where x(0) v ( Box w (*) are independent, and each is drawn from a uniform distribution in the range [-1,1].
At k = 1 you make the observation z(1) = 1
a. Solve the PDF of the state x(1) conditioned on z(1) = 1 .
