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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41eb1db9-a8dd-4d54-969c-f93bbca41464%2F1bc22b7d-5d75-4bf1-918e-b19ed1c654a1%2Fil6tlfq_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)