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Find the required probabilities using the exponential density function RE), (0.-). The time t (in years) until failure of a component in a machine is exponentially distributed with A-3.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 4 years but less than 6 years, and at least 7 years. (Round your answers to three decimal places) (a) less than 1 year (b) more than 4 years but less than 6 years 16 (c) at least 7 years Need Help?

Find the required probabilities using the exponential density function RE), (0.-). The time t (in years) until failure of a component in a machine is exponentially distributed with A-3.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 4 years but less than 6 years, and at least 7 years. (Round your answers to three decimal places) (a) less than 1 year (b) more than 4 years but less than 6 years 16 (c) at least 7 years Need Help?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the required probabilities using the exponential density function f(t) = ¹²e-tà, [0,00). -t/a The time t (in years) until failure of a component in a machine is exponentially distributed with = 3.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 4 years but less than 6 years, and at least 7 years. (Round your answers to three decimal places.) (a) less than 1 year (b) more than 4 years but less than 6 years (c) at least 7 years Need Help? Read It
Transcribed Image Text:Find the required probabilities using the exponential density function f(t) = ¹²e-tà, [0,00). -t/a The time t (in years) until failure of a component in a machine is exponentially distributed with = 3.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 4 years but less than 6 years, and at least 7 years. (Round your answers to three decimal places.) (a) less than 1 year (b) more than 4 years but less than 6 years (c) at least 7 years Need Help? Read It
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