An article in International Journal of Electrical Power & Energy Systems ["Stochastic Optimal Load Flow Using a Combined Quasi-Newtonand Conjugate Gradient Technique" (1989, Vol. 11(2), pp. 85-93)] considered the problem of optimal power flow in electric powersystems and included the effects of uncertain variables in the problem formulation. The method treats the system power demand as anormal random variable with 0 mean and unit variance.(a) What is the power demand value that is exceeded with 80% probability?Round your answer to two decimal places (e.g. 98.76).a =i(b) What is the probability that the power demand is positive?P =i

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Answered: An article in International Journal of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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14. an article in International Journal of Electrical Power & Energy Systems {"Stochastic Optimal Load Flow Using a Combined Quasi-Newton and Conjugate Gradient Technique" (1989, Vol. 11(2), pp. 85-93)} considered the problem of optimal power flow in electric power systems and included the effects of uncertain variables in the problem formulation. The method treats the system power demand as a normal random variable with 0 mean and unit variance. What is the power demand value that is exceeded with 80% probability? Round your answer to two decimal places (e.g. 98.76).
31. 31. An article in International Journal of Electrical Power & Energy Systems "Stochastic Optimal Load Flow Using a Combined Quasi-Newton and Conjugate Gradient Technique" (1989, Vol. 11(2), pp. 85-93) considered the problem of optimal power flow in electric power systems and included the effects of uncertain variables in the problem formulation. The method treats the system power demand as a normal random variable with 0 mean and unit variance. What is the probability that the power demand is positive? Round your answer to two decimal places (e.g., 98.8)
The shape of the mean-variance frontier that results from the combination of a riskless and arisky asset is…..:a. Is U-shaped, tilted 90 degrees clockwise.b. Is a straight line passing from the mean-variance points of the two assets.c. Is a hyperbola.d. Consists of two straight lines, each connecting one of the two assets to a risk-freeportfolio
In running a regression model with heteroscedastic errors, the estimators given by Weighted Least Squares (WLS) are BLUE. However, we should still use OLS method with heteroskedasticity-robust standard errors because a) this remedial method is simpler. b) the Gauss-Markov theorem holds. c) the exact form of the conditional variance is rarely known in practice. d) many econometric softwares do not have a command for weighted least squares.
a) Distinguish between the Population Regression Function (PRF) and the Sample Regression Function (SRF) using appropriate diagrams and specifications for each function. b) Outline the Gauss-Markov assumptions associated with the Classical Linear Regression Model (CLRM) and discuss their significance. State any additional assumption that is required for hypotheses testing.
Explain in detail the approach of Weighted Least Square used by applied economiststo address heteroskedasticity in empirical work.
A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Formulate a hypothesis so that, if the null hypothesis is rejected, we can conclude that the average amount of beef eaten annually by consumers in Illinois is significantly less than that eaten by consumers in Texas.
An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results and surgical technique," (2005, Vol. 13, pp. 273-279) cites a success rate of 1% for meniscal tears with a rim width of less than 3 mm, and a 1% success rate for tears from 3-6 mm. If you are unlucky enough to suffer a meniscal tear of less than 3 mm on your left knee, and one of width 3-6 mm on your right knee, what is the probability that you have exactly one successful surgery? assume surgieries are independent.
Is the following statement true or false? “The single-phase, single-channel model with Poisson arrivals and undefined service times will always have larger (i.e., greater) operating characteristic values (i.e., W,Wq, L, Lq ) than the same model with exponentially distributed service times.” Explain your answer.
Determine the heteroscedasticity in a scatter plot?
Given a random sample of size n from a Poisson population, use the method of maximum likelihood to obtain an estimator for the parameter λ
The following table presents the percentage of students who tested proficient in reading and the percentage who tested proficient in math for each of the ten most populous states in the United States. State Percent Proficient in Reading Percent Proficient in Mathematics California 60 59 Texas 73 78 New York 75 70 Florida 66 68 Illinois 75 70 Pennsylvania 79 77 Ohio 79 76 Michigan 73 66 Georgia 67 64 North Carolina 71 73 Compute the least-squares regression line for predicting math proficiency from reading proficiency. Predict the math proficiency for another state with reading proficiency of 63 percent.

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