1. A box contains 2 red balls and 3 white balls. Two balls are selected at random without replacement.

a) Draw a tree diagram that illustrates the possible outcomes of this experiment. Include the probability associated with each branch in the diagram.

b) Let be the number of red balls selected. Complete the probability distribution of below. Note that is not binomial because the probability of obtaining a red ball changes on the second selection.

c) Is continuous or discrete?

d) Find the expected value of .