Answer:

Step-by-step explanation:
Given
--- interval
Required
The probability density of the volume of the cube
The volume of a cube is:

For a uniform distribution, we have:

and

implies that:

So, we have:

Solve


Recall that:

Make x the subject

So, the cumulative density is:

becomes

The CDF is:

Integrate
![F(x) = [v]\limits^{v^\frac{1}{3}}_9](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Bv%5D%5Climits%5E%7Bv%5E%5Cfrac%7B1%7D%7B3%7D%7D_9)
Expand

The density function of the volume F(v) is:

Differentiate F(x) to give:




So:

Answer:
Please, see the attached files.
Step-by-step explanation:
Please, see the attached files.
Thanks.
Oh okie so I Pepeooooo oit the way
Answer:
D(WZ║XY)
Step-by-step explanation:
The definition of a trapezoid is "a quadrilateral with only one pair of parallel sides". WX and ZY are obviously not parrelel, so you need WZ and XY to be parellel to follow the criteria of a trapezoid.
25. yes it's direct variation
26. yes