A bag contains 5 white and 4 black balls. Two balls are drawn successively without replacement.
Let the random variable X denote the number of white balls drawn in the two draws.
a. (i) List all possible values of X and obtain the complete probability distribution of X.
b. (ii) Find the expectation E(X).
c. (iii) Given that the first ball drawn is white, determine the expected value of X under this condition.