4.1.8 An article in Electric Power Systems Research [“Model- ing Real-Time Balancing Power Demands in Wind Power Sys- tems Using Stochastic Differential Equations" (2010, Vol. 80(8), pp. 966–974)] considered a new probabilistic model to balance power demand with large amounts of wind power. In this model, the power loss from shutdowns is assumed to have a triangular distribution with probability density function -5.56 x 10-4 + 5.56 x 10-6x, 4.44 x 10-3 – 4,44 x 10-6x, x E [100, 500] xE [500, 1000] otherwise f(x) = 0, Determine the following: а. Р(Х < 90) b. P(100 < X < 200) d. Value exceeded with probability 0.1. P(X > 800)

4.1.8 An article in Electric Power Systems Research [“Model- ing Real-Time Balancing Power Demands in Wind Power Sys- tems Using Stochastic Differential Equations" (2010, Vol. 80(8), pp. 966–974)] considered a new probabilistic model to balance power demand with large amounts of wind power. In this model, the power loss from shutdowns is assumed to have a triangular distribution with probability density function -5.56 x 10-4 + 5.56 x 10-6x, 4.44 x 10-3 – 4,44 x 10-6x, x E [100, 500] xE [500, 1000] otherwise f(x) = 0, Determine the following: а. Р(Х < 90) b. P(100 < X < 200) d. Value exceeded with probability 0.1. P(X > 800)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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