In Communication/Information theory, an information source' is referred to as the generator of some "information represented by symbols' that carry particular meanings. As an example, consider an information source that generates symbols at random from a set of four symbols {a,b,c,d} with probabilities P{a} = }, P{b} = and P{c} = P{d} = }. A coding scheme encodes these symbols into binary codes as follows: %3D Symbols Binary Codes b 01 101 11 Let X be the random variable "the bit-length of the binary code" e.g. the binary code "111" has bit-length 3. 1. State the range of X i.e. Sx. 2. Assume the generation of symbols is independent. Find the probability distribution. 3. Find P[X > 3] and P[X < 2] 4. Find CDF and plot it. Label the axes and mention the abscissa and the ordinate values.