Question
Asked Nov 21, 2019
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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 given probabilities for both tasters' ratings of a randomly chosen wine.

What is the probability that the tasters agree when rating a wine? (Enter your answer rounded to two decimal places.)

 

What is the probability that Taster 1 rates a wine higher than Taster 2 . (Enter your answer rounded to two decimal places.)

Taster 2
Taster 1
1
2
4
0.00 0.00
0.01
1
0.03
0.02
2
0.02
0.08
0.05
0.02
0.01
3
0.01
0.05
0.02
0.05
0.01
0.02
4
0.00
0.05
0.43
0.02
5
0.00
0.01
0.01
0.02
0.06
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Taster 2 Taster 1 1 2 4 0.00 0.00 0.01 1 0.03 0.02 2 0.02 0.08 0.05 0.02 0.01 3 0.01 0.05 0.02 0.05 0.01 0.02 4 0.00 0.05 0.43 0.02 5 0.00 0.01 0.01 0.02 0.06

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Expert Answer

Step 1

The probability that the tasters agree when...

Tasters agrees
P
when rating a wine
-P(1,1)+P(2,2)+ P(3,3)+ P(4,4) + P (5,5)
=0.03 0.08+0.02+0.43 +0.06
0.62
Thus, the probability that the tasters agree when rating a wine is 0.62.
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Tasters agrees P when rating a wine -P(1,1)+P(2,2)+ P(3,3)+ P(4,4) + P (5,5) =0.03 0.08+0.02+0.43 +0.06 0.62 Thus, the probability that the tasters agree when rating a wine is 0.62.

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