6.116 Choose the appropriate distribution.
You must decide which of two discrete distributions a random variable has. We call the distributions and . Here are the probabilities that the distributions assign to the values of :
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|---|
| 0.1 | 0.1 | 0.1 | 0.1 | 0.2 | 0.1 | 0.3 | |
| 0.2 | 0.1 | 0.1 | 0.2 | 0.2 | 0.1 | 0.1 |
You have a single observation on and wish to test
One possible decision procedure is to accept if or and reject otherwise.