Geoff is running a carnival game. He has 15 marbles in a bag:there are 4 green marbles, 7 red marbles and 4 yellow marbles. Toplay a round of the game, a player randomly takes out 2 marbles(without replacement) from the bag. Green marbles win 5 points, redmarbles win 1 point and yellow marbles lose 2 points.
Let X be the random variable that describes the number of pointswon by a player playing a single round of Geoff's marble game. Findthe probability distribution for X. Give values for X as wholenumbers and probabilities as decimal values to 3 decimal places.Enter the values for X in ascending order (lowest to highest) fromleft to right in the table.
