Algorithms Question Problem (Linearity of expectations)
$10-30 USD
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Publicado hace más de 8 años
$10-30 USD
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Looking for a freelancer to help me with this question below!
Question:
Let X and Y be non-negative random variables, and let Z be another random variable, such that Z = max(X,Y). Prove that E[Z] ≤ E[X] + E[Y].
I have just last semester passed a course in probability and statistics at my University, where we solved problems like this one, which would make me a perfect candidate for this project. I would just have to take a look at my notes and I would solve it with thourough explanations for you in no time.
This question can be proved by firstly assuming that E(Z) > E(X) + E(Y) holds under some conditions, then after a few derivations we can find that it will conflict with Z = max(X, Y).