A certain type of device has an advertised failure rate of 0.0025 per hour. The failure rate is constant and the exponential distribution applies. (a) What is the mean time to failure? (b) What is the probability that 800 hours will pass before a failure is observed? (a) The mean time to failure is ☐ hours. (Type an integer or a decimal. Do not round.) (b) The probability that 800 hours will pass before a failure is observed is (Round to four decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 60CR
icon
Related questions
Question
100%

I need help with this question please

A certain type of device has an advertised failure rate of 0.0025 per hour. The failure rate is constant and the
exponential distribution applies.
(a) What is the mean time to failure?
(b) What is the probability that 800 hours will pass before a failure is observed?
(a) The mean time to failure is ☐ hours.
(Type an integer or a decimal. Do not round.)
(b) The probability that 800 hours will pass before a failure is observed is
(Round to four decimal places as needed.)
Transcribed Image Text:A certain type of device has an advertised failure rate of 0.0025 per hour. The failure rate is constant and the exponential distribution applies. (a) What is the mean time to failure? (b) What is the probability that 800 hours will pass before a failure is observed? (a) The mean time to failure is ☐ hours. (Type an integer or a decimal. Do not round.) (b) The probability that 800 hours will pass before a failure is observed is (Round to four decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 4 steps with 13 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax