Problem - The random variable Y has the following probability distribution.
| k |
Pr(Y=k) |
| 5 |
0.17 |
| 10 |
0.22 |
| 15 |
0.39 |
| 20 |
0.17 |
| 25 |
0.05 |
The random variable (3-(Y/5))2 has a probability distribution of the following form.
| k |
Pr((3-(Y/5))2 = k) |
| a |
d |
| b |
e |
| c |
f |
where the values of a, b, c are in increasing order.
(a) Find the values of a, b, and c.
(b) Find the values of d, e, and f.