Answer: E(Y) = 1.6 and Var(Y)=1.12
Step-by-step explanation:
Since we have given that
X 0 1 2
P(X) 0.4 0.4 0.2
Here, number of games = 2
So, 
Since
are independent variables.
so, ![E[Y]=2E[X]\\\\Var[Y]=2Var[X]](https://tex.z-dn.net/?f=E%5BY%5D%3D2E%5BX%5D%5C%5C%5C%5CVar%5BY%5D%3D2Var%5BX%5D)
So, we get that
![E(X)=0.4\times 0+0.4\times 1+0.2\times 2=0.8\\\\and Var[x]=E[x^2]-(E[x])^2\\\\E[x^2]=0\times 0.4+1\times 0.4+4\times 0.2=1.2\\\\So, Var[x]=1.2-(0.8)^2\\\\Var[x]=1.2-0.64=0.56](https://tex.z-dn.net/?f=E%28X%29%3D0.4%5Ctimes%200%2B0.4%5Ctimes%201%2B0.2%5Ctimes%202%3D0.8%5C%5C%5C%5Cand%20Var%5Bx%5D%3DE%5Bx%5E2%5D-%28E%5Bx%5D%29%5E2%5C%5C%5C%5CE%5Bx%5E2%5D%3D0%5Ctimes%200.4%2B1%5Ctimes%200.4%2B4%5Ctimes%200.2%3D1.2%5C%5C%5C%5CSo%2C%20Var%5Bx%5D%3D1.2-%280.8%29%5E2%5C%5C%5C%5CVar%5Bx%5D%3D1.2-0.64%3D0.56)
So, E[y]=2×0.8=1.6
and Var[y]=2×0.56=1.12
Hence, E(Y) = 1.6 and Var(Y)=1.12
Each vest has 3 blue and 2 green. He can make 8 :)
This might be a problem considering he would have no money left considering unless I made a mistake all the numbers add up to 1,400 so considering this he won't have money to spend if he get in a situation that he needs to spend
(I am not 100% sure this is the answer you are looking for)
The point r(-6,-5) lies on the circle.
Explanation
Given that the center of the circle=(-2,-2)
diameter=10 units
we have to determine which point among the given points lies on the circle.
radius=diameter/2=10/2=5 units
let (x,y) be a point on the circle
The distance between the center and (x,y) is equal to the radius of the circle
The distance between them=
squaring both sides 
The option (-6,-5) satisfies the equation
therefore the point that lies on the circle is (-6,-5)
Answer:
The answer is to rotate O"N"P 180 Degrees by point N
Step-by-step explanation:
This will show the similarity between the two triangles angles.