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If you doubt what set of problems you must do or if you left your worksheet in the cafeteria, then you will waste valuable time trying to decipher what you are supposed to do.

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So I calculate the E[X] as equal to p_1*mean_1 p_2*mean_2. And then E[Y] would be w_1*E[X] E[ϵ], which would be also 0 because E[X] = 0 and E[ϵ] will be 0 as the mean is 0 for this gaussian distribution as defined above in the problem.

So based on these two E[XY] would be 0 i'm having a fair bit of trouble with mathematical proofs and this question has me stumped, I've tried going through direct and indirect proofs and just can't quite grasp the concepts I have to apply... Hi, I'm Brendan and I've recently started focusing more on my You Tube Channel Cusack Prep.

Now, let's consider a concrete example when m=2, p_1=p_2=0.5, w_1=1,w_2=−1, μ_1=2, μ_2=−2, and σ_1=σ_2=1, what is the value of E[X], E[Y], E[XY]?

My approach was that for E[X] each distribution's expected value would be equal to its mean (integrating a gaussian distribution from -infinity to infinity).

Plus, math gets more complicated and sophisticated as you achieve academic progress, that is why, even if you aced math assignments during the first year of your studies, you can experience troubles later.

Formulas get longer, problems get more intricate, homework gets more time-consuming, and this is where you start looking for help with mathematics homework. Well, we offer all kind of math assistance, from project writing to algebra and geometry problem solving, and from data analysis to complex numbers help.

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