A brake component has been in use for one year. During that time, 125 incidentshave been recorded over an estimated XXXXXXXXXXmiles. It is assumed that the timeto failure distribution is...

A brake component has been in use for one year. During that time, 125 incidentshave been recorded over an estimated 4120000 miles. It is assumed that the timeto failure distribution is exponential.1. What is the estimated reliability of the component over a 12000 mile war-ranty?2. Determine the design life if a 0.90 reliability is required.3. Find the MTTF and the median time to failure.4. If one of these components is installed on each wheel brake subsystem, whatis the reliability of the automotive (system) over a 12000 mile warranty?(assume that the failure of just one component causes the whole system tofail)