2.3. The power output P in MW from a wind farm is a function P(w) = 3w² of the wind speed w in m/a. Suppose that the wind speed is uniformly distributed on the interval [5, 15). (a) What is the probability that the wind speed is at least 10 m/.? (b) What is the probability that the power output is at least 300 MW? (c) What is the expected power output E[P]
2.3. The power output P in MW from a wind farm is a function P(w) = 3w² of the wind speed w in m/a. Suppose that the wind speed is uniformly distributed on the interval [5, 15). (a) What is the probability that the wind speed is at least 10 m/.? (b) What is the probability that the power output is at least 300 MW? (c) What is the expected power output E[P]
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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![2.3. The power output P in MW from a wind farm is a function P(w) = 3w² of the wind speed w in
m/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. This
means that the wind farm has a maximum power output of 300 MW, so:
3w? w < 10
S(t) =
300 w > 10
What is the expected power output E[P] of the wind farm?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabdd1821-d7b6-4171-a67e-edf70418727b%2F30e89605-89d7-4393-b800-3ecc16658817%2F3dmrv2f_processed.png&w=3840&q=75)
Transcribed Image Text:2.3. The power output P in MW from a wind farm is a function P(w) = 3w² of the wind speed w in
m/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. This
means that the wind farm has a maximum power output of 300 MW, so:
3w? w < 10
S(t) =
300 w > 10
What is the expected power output E[P] of the wind farm?
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