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:
39
Step-by-step explanation:
Let the smallest number be n,
then the three numbers are n, n+1 and n+2
Therefore, n+(n+1)+(n+2)=120
Collecting like terms,
n+n+n=120-1-2
3n=117
n=117/3
n=39
Therefore the numbers are 39,40 and 41.
And the smallest number is 39.
Please list the answer options. I can solve but I need the answer options.
Volume of a cube = l^3, where l is the side length (note that the length, width and height in a cube are equal)
Volume of cube = 6^3 = 216 m^3
30 divided by 5 is 6, so the other term is (x+6). (x+5)(x+6) becomes x^2+11x+30, so k is equal to 11.
