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Two electric generators are connected in series to supply electricity for a company during network system failures. When the electric network fails, generator 1 turns on and supplies electricity until its fuel finishes. If the network electric supply is still off, generator 2 turns on and supplies electricity. Suppose that the time each generator supplies electricity is normally distributed and independent of the other generator. For generator 1 its X₁, Normally distributed with mean 7.00 hours and variance 1.52, [N (7.00, 1.52)] and for generator 2 its X2, Normally distributed with mean 5.00 hours and variance 1.0², [N(5.00, 1.02)]. Determine the probability that both generators will provide at least 10 hours of electric supply during a network failure. (Note: You may use the central limit theorem with the fact that T=X₁+X₂ is Normal with mean µ₁+µ2 and variance σ²₁+0²₂). Probability (T210)

Two electric generators are connected in series to supply electricity for a company during network system failures. When the electric network fails, generator 1 turns on and supplies electricity until its fuel finishes. If the network electric supply is still off, generator 2 turns on and supplies electricity. Suppose that the time each generator supplies electricity is normally distributed and independent of the other generator. For generator 1 its X₁, Normally distributed with mean 7.00 hours and variance 1.52, [N (7.00, 1.52)] and for generator 2 its X2, Normally distributed with mean 5.00 hours and variance 1.0², [N(5.00, 1.02)]. Determine the probability that both generators will provide at least 10 hours of electric supply during a network failure. (Note: You may use the central limit theorem with the fact that T=X₁+X₂ is Normal with mean µ₁+µ2 and variance σ²₁+0²₂). Probability (T210)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Two electric generators are connected in series to supply electricity for a company during network system failures. When the electric network fails, generator 1 turns on and supplies electricity until its fuel finishes. If the network electric supply is still off, generator 2 turns on and supplies electricity. Suppose that the time each generator supplies electricity is normally distributed and independent of the other generator. For generator 1 its X₁, Normally distributed with mean 7.00 hours and variance 1.5², [N (7.00, 1.5²)] and for generator 2 its X2, Normally distributed with mean 5.00 hours and variance 1.0², [N(5.00, 1.0²)]. Determine the probability that both generators will provide at least 10 hours of electric supply during a network failure. (Note: You may use the central limit theorem with the fact that T=X₁+X₂ is Normal with mean µ₁+µ2 and variance 0²₁+0²₂). Probability (T210)=
Transcribed Image Text:Two electric generators are connected in series to supply electricity for a company during network system failures. When the electric network fails, generator 1 turns on and supplies electricity until its fuel finishes. If the network electric supply is still off, generator 2 turns on and supplies electricity. Suppose that the time each generator supplies electricity is normally distributed and independent of the other generator. For generator 1 its X₁, Normally distributed with mean 7.00 hours and variance 1.5², [N (7.00, 1.5²)] and for generator 2 its X2, Normally distributed with mean 5.00 hours and variance 1.0², [N(5.00, 1.0²)]. Determine the probability that both generators will provide at least 10 hours of electric supply during a network failure. (Note: You may use the central limit theorem with the fact that T=X₁+X₂ is Normal with mean µ₁+µ2 and variance 0²₁+0²₂). Probability (T210)=
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