Answer:
Attached
Step-by-step explanation:
Just for your reference, this question will get unlimited number of solutions, attached is a few examples I calculated from Excel. Have fun to pick one or create one to be your favorite.
We obtain the joint PMF directly from the joint MGF:

![\implies\mathrm{Pr}[X=x,Y=y]=\begin{cases}0.1&\text{for }x=y=0\\0.2&\text{for }x=1,y=0\\0.3&\text{for }x=0,y=1\\0.4&\text{for }x=y=1\\0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=%5Cimplies%5Cmathrm%7BPr%7D%5BX%3Dx%2CY%3Dy%5D%3D%5Cbegin%7Bcases%7D0.1%26%5Ctext%7Bfor%20%7Dx%3Dy%3D0%5C%5C0.2%26%5Ctext%7Bfor%20%7Dx%3D1%2Cy%3D0%5C%5C0.3%26%5Ctext%7Bfor%20%7Dx%3D0%2Cy%3D1%5C%5C0.4%26%5Ctext%7Bfor%20%7Dx%3Dy%3D1%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
Then
![\mathrm{Pr}[X=Y]=\mathrm{Pr}[X=Y=0]+\mathrm{Pr}[X=Y=1]=0.1+0.4=\boxed{0.5}](https://tex.z-dn.net/?f=%5Cmathrm%7BPr%7D%5BX%3DY%5D%3D%5Cmathrm%7BPr%7D%5BX%3DY%3D0%5D%2B%5Cmathrm%7BPr%7D%5BX%3DY%3D1%5D%3D0.1%2B0.4%3D%5Cboxed%7B0.5%7D)
Answer: OPTION 3. -7
Step-by-step explanation:
Given
-52=-4x-5(-2x+2)
Distributive property (REMEMBER you need to change signs)
-52=-4x-5×(-2x)-5×2
-52=-4x+10x-10
Combine like terms (-4x and 10x)
-52=6x-10
Add 10 on both sides
-52+10=6x-10+10
-42=6x
Divide 6 on both sides
-42/6=6/6x
x=-7
Hope this helps!! :)
Please let me know if you have any question
A cube's volume is length * hight * width
since it is a cube, length hight width are all the same.
so we can use variable x to represent it.
x*x*x
which is

so

cube root both sides
![x = \sqrt[3]{1000} = 10](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%5B3%5D%7B1000%7D%20%20%3D%2010)
length of its side is 10
Answer:
I think it is Physical map but i may be wrong
Step-by-step explanation:
Political maps show how people have divided up the earth's surface. These maps show state and national boundaries, capitals, and large cities. Political maps use different colors to show different countries.