B. In a game, the player has to randomly select 2 balls without replacement from a bowl containing 8 balls: 6 red balls and 2 blue balls. For each red ball selected, the player will receive 1 point and for each blue ball he will receive 5 points. Let T be the number of total points he earns from the two selected balls.

(i) Tabulate the probability distribution of T.

(ii) Determine the expected value and standard deviation of T.

(iii) For each point that he earned, he will receive a payment of $5. He also has to pay a fix amount of $3 for the game fee. Let W be the net amount ($) he gets. Is it worth it for him to play the game? Justify your answer using Laws of Expected Values.

(iv) Using Laws of Variance, calculate the variance of W.