A DMS X has five symbols x, x, X3, x4 and xs with P(x) = 0.25, P(x) = 0.3, P(x)= 0.22 and P(x) = 0.13. Construct a Shannon-Fano code for X. Check if the Kraft inequality is satisfied for this code. Find the probability of producing bit (1) for this ade. Find the corresponding symbols sequence for the following received binary-coded sequence "1100011110" utilizing the code in (a). Classify the code according to the following specifications: fixed-length, variable-length, distinct, prefix-free, uniquely decodable, instantaneous codes.