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 balancepower demand with large amounts of wind power. In this model,the power loss from shutdowns is assumed to have a triangulardistribution with probability density functionf(x) =-5.56 × 10-4 +5.56 × 10-6x,4.44 x 10-³-4.44 × 10-6x,0,{x = [100, 500]x € [500, 1000]otherwiseDetermine the following:a. P(X <90) b. P(100 < X < 200)c. P(X> 800) d. Value exceeded with probability 0.1.

The power loss from shutdowns is assumed to have a triangular distribution with probability density…

Answered: 1.8 An article in tric Power Systems…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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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