1. Write down the range space for each of the random variables defined below:

a. The number of heads obtained when two coins are tossed simultaneously.

b. The maximum of three scores obtained when three dice are tossed together.

c. The number of telephone calls into exchange during a period of five minutes.

2. Three balls are drawn at random with replacement from a box containing here white and nine black balls. Find the probability distribution of the number of white balls that will be drawn. Deduce the most probable number of white balls that will be drawn.

3. Find the probability distribution of the maximum of two score obtained when a fair die is tossed twice.