A component fails at a {continuous} random time T whose pdf is ft) = 11"(1 + {)2. Find the conditional cdf of T conditioned on the fact that T E In. That is, you are computing Forget?) = P6" 5 1'IT 2 to)- Uotain the odf fTITarnU) of T conditioned on T 2 in by differentiating the conditional cdf. The function Mt) = fnryi is cailed the hazard function of T. It is the failure rate at t given that the component has not already failed at that time. Compute the hazard function. and comment on what it is teiling us