A box contains seven marbles. Four of them are red and 3 of them are green. You reach in and choose three at random without replacement. Define a random variable X as: X = the number of red marbles selected.

(a) What are the possible values X can take on? (i. e. give Im(X))
(b) Find P(X = x) for all x in Im(X).
(c) Make a table for the probability distribution of X as shown in lecture. (Leave probabilities as fractions)