4.143 Wine tasters.
Two wine tasters rate each wine they taste on a scale of 1 to 5. From data on their ratings of a large number of wines, we obtain the following probabilities for both tasters' ratings of a randomly chosen wine:
Taster 2 | |||||
---|---|---|---|---|---|
Taster 1 | 1 | 2 | 3 | 4 | 5 |
1 | 0.03 | 0.02 | 0.01 | 0.00 | 0.00 |
2 | 0.02 | 0.07 | 0.06 | 0.02 | 0.01 |
3 | 0.01 | 0.05 | 0.25 | 0.05 | 0.01 |
4 | 0.00 | 0.02 | 0.05 | 0.20 | 0.02 |
5 | 0.00 | 0.01 | 0.01 | 0.02 | 0.06 |
4.143
(a) All the probabilities are between 0 and 1 and sum to 1. (b) (c)