Two wine tasters rate each wine they taste on a scale of 1 to 5. From data on th

Question

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.

(a) Why is this a legitimate assignment of probabilities to outcomes?

all probabilities are greater than 0 and they sum to 1all probabilities are greater than or equal to 0    they sum to 1all probabilities are greater than or equal to 0 and they sum to 1

(b) What is the probability that the tasters agree when rating a wine?


(c) What is the probability that Taster 1 rates a wine higher than 3?


What is the probability that Taster 2 rates a wine higher than 3?

Taster 2 Taster 1 1 2 3 4 5 1 0.04 0.03 0.02 0.00 0.00 2 0.03 0.08 0.05 0.02 0.01 3 0.02 0.05 0.21 0.05 0.01 4 0.00 0.02 0.05 0.20 0.02 5 0.00 0.01 0.01 0.02 0.05

Explanation / Answer

A) IT IS LEGITIMATE ASSIGNMENT OF PROBABILITIES AS ALL THE PROBABILITIES ARE GREATER THAN OR EQUAL TO 0 AND SUM TO 1.

B) PROBABILITY THAT TASTERS AGREE = WHEN THEY BOTH RATE THE SAME.

WE HAVE TOTAL 25 CASES

= 1/25 =0.04 AS ONLY AT ONE STANCE THEY RATED SAME AND THAT TO (1,1)

C)PROBABILITY THAT TASTER 1 GIVES HIGHER THEN 3 = ADDING THE PROBABILITIES OF GETTING RATING 4 AND 5 BY TASTER 1 =

0.05

ADDING ALL

WE WILL GET = 0.32

D) PROBABILITIES OF TASTER 2 RATING HIGHER THAN 3 = GETTING THE PROBABILITY HIGHER THEN 3 BY TASTER 2

=

= ADDING ALL WE WILL GET = 0.38

0.00 0.02 0.05 0.20 0.02 0.00 0.01 0.01 0.02

0.05

ADDING ALL

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.