A gambler is invited to play the following game. An urn contains 20 balls of which 3 are red. The gambler pays $7 and then draws 4 balls without replacement from the urn. For each red ball drawn, the player gets $10. The balls in the urn have been thoroughly mixed, and the player is unable to see inside the urn while drawing. Let the random variable Y denote the number of red balls drawn.

(a) Write the probability distribution of Y in tabular form. (b) Calculate E(Y ) and SD(Y ). Put a box around your final answers. (c) How much can the player expect to win if they play the game once? Put a box around the final answer.