IE 4521 Practice Midterm Problems
نویسنده
چکیده
1.2 Machine failure A system is composed of 5 components, each of which is either working or broken. 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 xi = 1 if component i works and 0 if component i is broken. 1. How many outcomes are in the sample space of this experiment? 2. Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let W denote the event that the system works. Specify all the outcomes in W. 3. Let A denote the event that components 4 and 5 are broken. How many outcomes are contained in event A? 4. How many outcomes are contained in event A ∩W?
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