Question 67 of 83

Passage question

00:00Est. 2 min

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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.

Question

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.

ComprehensionMedium Difficulty02 April 2023

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