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The daily demand (in megawatts) for electrical power in a certain region is modeled as a random variable with the following probability density function: f(x) = { 10-x 8 6 ≤x≤ 10 othomuico

The daily demand (in megawatts) for electrical power in a certain region is modeled as a random variable with the following probability density function: f(x) = { 10-x 8 6 ≤x≤ 10 othomuico

MATLAB: An Introduction with Applications
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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The daily demand (in megawatts) for electrical power in a certain region is modeled as a random variable with the following probability density function: f(x) = = 10-x {i 8 6 ≤ x ≤ 10 otherwise 1. Derive a formula for the cumulative distribution function of the daily demand. 2. The power plant that serves the region can supply up to 9 megawatts of power. Any demand in excess of 9 megawatts must be purchased by the utility on the spot market. What is the expected value of the amount of power that the utility will have to purchase on the spot market?
Transcribed Image Text:The daily demand (in megawatts) for electrical power in a certain region is modeled as a random variable with the following probability density function: f(x) = = 10-x {i 8 6 ≤ x ≤ 10 otherwise 1. Derive a formula for the cumulative distribution function of the daily demand. 2. The power plant that serves the region can supply up to 9 megawatts of power. Any demand in excess of 9 megawatts must be purchased by the utility on the spot market. What is the expected value of the amount of power that the utility will have to purchase on the spot market?
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