9. [10] A computer generates hexadecimal characters (e.g. 0000, 0001, 0010, etc.). Let

\X" be the integer value corresponding to a hex character. Suppose that the four

binary digits in the character are independent and each is equally likely to be \0" or

\1".

(a) [2] Describe the underlying space of this random experiment and specify the

probabilities of its elementary events.

(b) [3] Show the mapping fromS to Sx.

(c) [5] Find the probabilities for the various values ox.