c) For a gearbox of an excavator, a pair of gear operates at low speed. If the lifetime of the pair of identical gear obey Weibull distribution with random with parameter a=0.0002 and B=0.5. (a) Find the probability any gear fail before 4000 hours. (b) Find the probability that any gear functions properly at least 10000 hours. (b) Find the probability that both gears functions properly at least 6000 hours.
c) For a gearbox of an excavator, a pair of gear operates at low speed. If the lifetime of the pair of identical gear obey Weibull distribution with random with parameter a=0.0002 and B=0.5. (a) Find the probability any gear fail before 4000 hours. (b) Find the probability that any gear functions properly at least 10000 hours. (b) Find the probability that both gears functions properly at least 6000 hours.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:c) For a gearbox of an excavator, a pair of gear
operates at low speed. If the lifetime of the pair
of identical gear obey Weibull distribution with
random with parameter a=0.0002 and B=0.5.
(a) Find the probability any gear fail before
4000 hours.
(b) Find the probability that any gear
functions properly at least 10000 hours.
(b) Find the probability that both gears
functions properly at least 6000 hours.
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