If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have (legend: < : x<y = : x=y > : x>y
y 1 2 3 4
x
1 = < < <
2 > = < <
3 > > = <
4 > > > =
We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore,
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)
However, if the sample space is continuous, it will be simply p(x<y)=1/2.
Answer:
Step-by-step explanation:
A 180 counterclockwise rotation of (5, 4).
The transformation rule is as follows:
turns into 
.
Answer:
B
Step-by-step explanation:
Divide both sides by 3
Take square root of both sides.
Add 9 to both sides.
12 subtract 2 times 5 plus 7 is 9
No -- other factors will influence whether your happy or not. Saying that is true is inductive reasoning, which is prone to error
