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In a certain city, the daily consumption of petroleum in thousand barrels of oil can be treated as a random variable having a gamma distribution with a = 3 and 0 4. If the petroleum supply of this city has a daily capacity of 24 thousand barrels of oil, what is the probability that this petroleum supply will be inadequate on any given day? Find this probability using the relation between gamma and Poisson distributions.

In a certain city, the daily consumption of petroleum in thousand barrels of oil can be treated as a random variable having a gamma distribution with a = 3 and 0 4. If the petroleum supply of this city has a daily capacity of 24 thousand barrels of oil, what is the probability that this petroleum supply will be inadequate on any given day? Find this probability using the relation between gamma and Poisson distributions.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In a certain city, the daily consumption of petroleum in thousand barrels of oil can be treated as a random variable having a gamma distribution with a = 3 and 0 = 4. If the petroleum supply of this city has a daily capacity of 24 thousand barrels of oil, what is the probability that this petroleum supply will be inadequate on any given day? Find this probability using the relation between gamma and Poisson distributions.
Transcribed Image Text:In a certain city, the daily consumption of petroleum in thousand barrels of oil can be treated as a random variable having a gamma distribution with a = 3 and 0 = 4. If the petroleum supply of this city has a daily capacity of 24 thousand barrels of oil, what is the probability that this petroleum supply will be inadequate on any given day? Find this probability using the relation between gamma and Poisson distributions.
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