IITM BS Question 67 - Week 5 Practice

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IITM BS Question 67 - Week 5 Practice | Prasnya

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Q67Comprehension2 Marks2 Apr 2023

Passage

At a particular petrol pump, petrol is stocked in a bulk tank each week. Let

X

denote the proportion of the tank capacity stocked in a given week and

Y

denote the proportion sold in the same week. The petrol pump cannot sell more than what was stocked. Assume

f_{XY}(x,y)=cxy

for

0\le y\le x\le2

, and

0

otherwise. Based on the above data, answer the given subquestions.

Find the probability that the amount of petrol sold in a given week is less than half the amount stocked in that week. Enter the answer correct to two decimal places.

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Q67

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2 Apr 2023

Statistics 2 · Week 5

Q67.Find the probability that the amount of petrol sold in a given week is less than half the amount stocked in that week. Enter the answer correct to two decimal places.@passage

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