2.3. The power output P in MW from a wind farm is a function P(w) = 3w² of the wind speed w inm/s. Suppose that the wind speed is uniformly distributed on the interval [5, 15].%3D(a) What is the probability that the wind speed is at least 10m/?(b) What is the probability that the power output is at least 300 MW?(c) What is the expected power output E[P](d) Suppose now that the wind turbines adjust for high wind speeds to reduce loading. Thismeans that the wind farm has a maximum power output of 300 MW, so:3w? w < 10S(t) =300 w > 10What is the expected power output E[P] of the wind farm?

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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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