[Community Question] Statistics: Find skewed standard distribution given the mean and bounds for the other values

One of our user asked:

I am working on a project but need to find a skewed standard distribution, and we can't figure out how.

We have two variables: $p$, which is a probability and $PV$ which is an integer variable between 0 and 10 There are two demands that need to be meeted:

The mean must lay at $PV \cdot p$
The values with non-zero probability must lay between 0 and PV.

Is it possible to accomplish this? And how? (If somebody has a tip how to implement it in Python, let me know)

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Calculus: Intersection of hyperplanes in $\mathbb{R}^5$

Consider the $4$ hyperplanes in $\mathbb{R}^5$ given by the equations $$x_1-x_2+x_3+x_4+2x_5=0$$ $$2x_1-x_2+6x_3+2x_4+6x_5=0$$ $$3x_1-3x_2+3x_3+4x_4+7x_5=0$$ $$x_1+x_2+9x_3+x_4+6x_5=0$$ Let $V \leq \mathbb{R}^5$ be the intersection of these hyperplanes. Find a basis for $V$ .

[Community Question] Calculus: calculating 2 constants in a function

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Calculus: A difficulty in understanding a step in a solution.

Here is the solution: But I could not understand how the last term in the fourth line came from the line before it, could anyone explain this for me please?

Win At Mathematics

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