# Tagged Questions

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### expectation lognormal and normal

I have two random variables $X\sim N(m_{X},\sigma^2_{X})$ and $Y\sim N(m_{Y},\sigma^2_{Y})$ both normally distributed and they're jointly normally distributed as well with correlation $\rho$. I am now ...
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### Chebyshev inequality for $n=1$?

Wikipedia suggests that Chebyhev's inequality is only true for $n \ge 2$, but I don't see why we have to exclude the case $n=1$? Is wikipedia right? Chebyshev
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### Scaling model output to be between 0 and 1

I have fitted Cox model and the output is generated as: $e^{\beta x}$, where $\beta$ is the coefficient. Now, I would like to have the model output ranging between $0$ and $1$. I'm currently using ...
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### Double Integration with interesting variable limits, and difficult function

I am trying to reconstruct a probabilistic model, I have tried different methods of approach, by parts, substitution, but to no avail. Any help with this would be greatly appreciated!
Show that $$\lim_{x \to 0} \frac{-3x }{e^{x/3}}=0$$ by L'hopital's rule. I know how to solve this without using L'hopital's rule. I was just reading about this and was wondering can we solve it ...