How Do You Compute E(f(x)) for Uniformly Distributed Variables?

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In summary, when you are stuck on a question, it's important to take a break, break down the question into smaller parts, and reach out for help if needed. You can determine if you are truly stuck or just need more time by trusting your instincts and actively trying different approaches. Whether or not to skip the question and come back to it later depends on the situation and available time. Resources such as classmates, teachers, online forums, and tutors can all be helpful when seeking assistance with a question. To prevent getting stuck in the future, make sure to fully understand the concept and practice problems, and don't hesitate to ask for help and utilize additional resources.
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tuanle007
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can someone please help me with this question. i don't know how to do this.
 
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To get E(f(x)) where x is uniformly distributed between 0 and A, you simply compute:
1/A integral from 0 to A of f(x). In your case A=pi and x=theta. This will give you the answers you need for (a).
The answer to (b) depends on the answer to the middle expectation. It will be a function of k and m. It is wide sense stationary if it is a function only of k-m, and not of them individuallly.
 

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If you find yourself spending a lot of time on a question and still not making any progress, it's likely that you are truly stuck. However, if you are actively trying different approaches and making some progress, it may just be a matter of needing more time to think. Trust your instincts and don't be afraid to ask for help if you need it.

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