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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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