A certain type of device has an advertised failure rate of 0.008 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 250 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.)

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
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I need help with this parts a and b please

A certain type of device has an advertised failure rate of 0.008 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 250 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.)
Transcribed Image Text:A certain type of device has an advertised failure rate of 0.008 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 250 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.)
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