Answer:
P(Y=1|X=3)=0.125
Step-by-step explanation:
Given :
p(1,1)=0
p(2,1)=0.1
p(3,1)=0.05
p(1,2)=0.05
p(2,2)=0.3
p(3,2)=0.1
p(1,3)=0.05
p(2,3)=0.1
p(3,3)=0.25
Now we are supposed to find the conditional mass function of Y given X=3 : P(Y=1|X=3)
P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)
P(X=3)=p(3,1) +p(3,2) +p(3,3)
P(X=3)=0.05+0.1+0.25=0.4
Hence P(Y=1|X=3)=0.125
The top angle (10x+10) is equal to the angle below the lowest line and the skewed line. However, the 4x+2 is on the other side. But both together add up to 180° (a straight line).
So 10x+10 = 180-(4x+2) is the formula you're looking for.
Solving it:
10x+10 = 180-(4x+2) =>
10x+10 = 178-4x =>
14x = 168 =>
x = 12
Look up the theory for F angles and Z angles.
Answer: a=7 and b=8 so you put them in the places they belong
explanation: see picture
