Answered: Factoring in the market price of oil…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 8CR

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5) Factoring in the market price of oil (as a random event, depicted by a circle) to determine revenues. Planners might use a continuous random variable, like a normal distribution with a known mean and standard deviation. They also might use a limited set of discrete values to approximate a continuous random variable. For this example, we'll assume that, for the expected distribution of oil prices, the planners would select an extraction option giving an expected payoff of $120M.

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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