3 Assume that 100 components are placed on test From previou

3. Assume that 100 components are placed on test. From previous testing, we believe that the hazard rate is constant, and MTTF = 500 hours. [15 points] a. Estimate the number of components that will fail in the time interval of 100-200 hours. b. Given the component has been operated for 400 hours without failure, calculate the mean residual life (MRL) of this component.

Solution

MTTF =500 hours

i.e integral of .  = 500 hours.

i.e. integral R(x) dx = 500 hours

Hence in the time interval 100-200 hours it will be 0.2