-5.56 x 10" + 5.56 × 10"x, xel100,500] S(x) ={ 4.44 x 10 - 4.44 × 10“x, xe[500,1000] 0, otherwise Determine (in 6 decimal places): A. P (X < 90) B. P (100 800)
-5.56 x 10" + 5.56 × 10"x, xel100,500] S(x) ={ 4.44 x 10 - 4.44 × 10“x, xe[500,1000] 0, otherwise Determine (in 6 decimal places): A. P (X < 90) B. P (100 800)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![An article in Electric Power Systems Research ["Modeling Real-Time Balancing Power Demands
in Wind Power Systems 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 × 10* +5.56× 10“x, xE[100,500]
f(x)={ 4.44 x 10– 4.44× 10“x, xe[500,1000]
0,
otherwise
Determine (in 6 decimal places):
A. P (X < 90)
B. P (100 < Xs 200)
C. P (X > 800)
D. Value exceeded with probability 0.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9c3e0dd-bdfa-4333-a4aa-0397c1dc9048%2F9d193b25-f052-4515-bfc1-17d78d2d8888%2Fbhx0ts_processed.png&w=3840&q=75)
Transcribed Image Text:An article in Electric Power Systems Research ["Modeling Real-Time Balancing Power Demands
in Wind Power Systems 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 × 10* +5.56× 10“x, xE[100,500]
f(x)={ 4.44 x 10– 4.44× 10“x, xe[500,1000]
0,
otherwise
Determine (in 6 decimal places):
A. P (X < 90)
B. P (100 < Xs 200)
C. P (X > 800)
D. Value exceeded with probability 0.1
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