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 1 1 2 3 4 5 1 0.03 0.02 0.01 2 0.02 0.07 Taster 2 3 0.00 0.01 0.01 0.06 4 0.00 0.07 0.20 0.07 0.01 0.02 5 0.00 0.01 0.00 0.02 0.06 0.20 0.02 0.01 0.02 0.06 Taster 1's rating for a wine is 3. What is the conditional probability that Taster 2's rating is higher than 3? Give your answer to four decimal places.

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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 1
1
2
3
4
5
1
0.03
0.02
0.01
2
0.00
0.02
Taster 2
3
0.01
4
0.00
0.07 0.20 0.07
0.00 0.02 0.06 0.20
0.01 0.01
0.07 0.06 0.02 0.01
5
0.00
0.01
0.02
0.02 0.06
Taster 1's rating for a wine is 3. What is the conditional probability that Taster 2's rating is higher than 3? Give your answer to
four decimal places.
Question Source: Moore, Introduction To The Practice Of Statistics. 10e | Publisher W.H. Freema
Transcribed Image Text: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 1 1 2 3 4 5 1 0.03 0.02 0.01 2 0.00 0.02 Taster 2 3 0.01 4 0.00 0.07 0.20 0.07 0.00 0.02 0.06 0.20 0.01 0.01 0.07 0.06 0.02 0.01 5 0.00 0.01 0.02 0.02 0.06 Taster 1's rating for a wine is 3. What is the conditional probability that Taster 2's rating is higher than 3? Give your answer to four decimal places. Question Source: Moore, Introduction To The Practice Of Statistics. 10e | Publisher W.H. Freema
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