The time to failure in hours of a bearing in a gear box is m

The time to failure, in hours, of a bearing in a gear box is modeled by Weibull distribution with parameters, eta = 6000 hours and beta = 0.5. If it is known that the bearing fails only after a wear-in period of 1000 hours, determine the following: Find the mean time to failure of the bearing The probability that life of a bearing is at least 7000 hours Design life of the bearing if the reliability of the bearing is required to be at least 0.90.

Solution

please conform which type of bearing it is.

the standard values changes of ball bearings and roller bearings.

for more information please find the link.

http://machinedesign.com/bearings/meaning-bearing-life