a. Suppose that a system starts working at time t=0. The time until a component is taken out of…

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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

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To simulate the system and estimate the probability that the system is still working at time t 10 we

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