a. Suppose that a system starts working at time t=0. The time until a component is taken out of service is uniformly distributed on the interval [0 8]. Two such independent components are put in parallel and therefore, one of the components is used as a stand by component and it starts working when the other component fails down. Hence, the whole system goes down when both of the components go down. Assume that the life time of a component starts when it starts working Generate your own Uniform[0,8] random variates to simulate this system for 3 times and estimate the probability that the system is still working at time t-10. Use the following Uniform[0,8] random variates. Uniform [0,8] random variates: 1.98 7.93 5.68 4.06 2.51 7.12 7.73 5.29 2.94 0.54 4.05 2.41