2. We have a gambler who decides to bet his fortune, $1, on the result of the experiment from above. The rules are that the gambler has to double his stake each time a head appears and he looses immediately if a tail shows up (in which case his wealth goes to 0). Define a new random variable W = the amount made at the end of the gambler's bet. (a) [1 pt] Draw the table of outcomes for the random variable W (similar to Table 1 above). (b) [4 pts] Again, assuming each outcome is equally likely, draw the cumulative distribution function of W and dene its function FW(:c)