A system is composed of five components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector (x1, X2, X3, X4, X5), where x¡ is equal to 1 if component i is working and is equal to 0 if component i is failed. a) How many outcomes are in the sample space of this experiment? b) Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 5 are both working. Let w be the event that the system will work. Specify all the outcomes in W. c) Let A be the event that components 2 is failed. How many outcomes are contained in the event A? d) Write out all the outcomes in the event A°n W.

A system is composed of five components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector (x1, X2, X3, X4, X5), where x¡ is equal to 1 if component i is working and is equal to 0 if component i is failed. a) How many outcomes are in the sample space of this experiment? b) Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 5 are both working. Let w be the event that the system will work. Specify all the outcomes in W. c) Let A be the event that components 2 is failed. How many outcomes are contained in the event A? d) Write out all the outcomes in the event A°n W.

Name: c and d parts A system is composed of five components, each of which i
Uploaded: 2024-03-05T11:53:49.000Z
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Description: c and d parts A system is composed of five components, each of which is either working orfailed. Consider an experiment that consists of observing the status of each component,and let the outcome of the experiment be given by the vector (x1, x2, X3,