An oil company in Abu Dhabi expects that a new oil field will produce between 2,000 and 12,000 barrels of oil per hour. The oil company also expects that most likely production to be 7000 barrels per hour. The company believes the oil field will be uneconomic if the probability of extracting less than 5,000 barrels per hour is less than 10%. a) Model the hourly production of oil by a triangular distribution. b) Find the probability that less than 5,000 barrels of oil will be produced in one hour. Is this economic production rate? c) What is the probability that this oil field will produce more than 10,000 barrels per hour? d) You manager is interested in learning the 75th percentile. How much is the production rate at this level?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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An oil company in Abu Dhabi expects that a new oil field will produce between 2,000 and 12,000 barrels
of oil per hour. The oil company also expects that most likely production to be 7000 barrels per hour.
The company believes the oil field will be uneconomic if the probability of extracting less than 5,000
barrels per hour is less than 10%.
a) Model the hourly production of oil by a triangular distribution.
b) Find the probability that less than 5,000 barrels of oil will be produced in one hour. Is this
economic production rate?
c) What is the probability that this oil field will produce more than 10,000 barrels per hour?
d) You manager is interested in learning the 75th percentile. How much is the production rate at
this level?
Transcribed Image Text:An oil company in Abu Dhabi expects that a new oil field will produce between 2,000 and 12,000 barrels of oil per hour. The oil company also expects that most likely production to be 7000 barrels per hour. The company believes the oil field will be uneconomic if the probability of extracting less than 5,000 barrels per hour is less than 10%. a) Model the hourly production of oil by a triangular distribution. b) Find the probability that less than 5,000 barrels of oil will be produced in one hour. Is this economic production rate? c) What is the probability that this oil field will produce more than 10,000 barrels per hour? d) You manager is interested in learning the 75th percentile. How much is the production rate at this level?
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