Homework SourseConsider the experiment of tossing two die Define the random
Consider the experiment of tossing two die. Define the random variable Y to be the product of the two face values observed.
(a) Specify the support of Y .
(b) Derive the probability mass function for Y .
(c) Find the mean and variance of Y .
Solution
a)
b)
c)
| Y | 1 | 2 | 3 | 4 | 5 | 6 |
| 1 | 1 | 2 | 3 | 4 | 5 | 6 |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 |
| 3 | 3 | 6 | 9 | 12 | 15 | 18 |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 |
