Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,16) and Y is uniformly distributed over (16,32]. Find the probability that the distance between the two points is greater than 9.

Solution :

Let us consider the squares be

If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region  which goes from the .

And so it is easier to find the area of region where . This is the triangle with points as its vertices.

The area if the triangle is =  

                                         =

Now the entire area is  = 256

Then,

or

Thus the answer is

a=r

d=q

c=p

b=s

hope this !

what are the things "represented below"?

step-by-step explanation:

nobody can if you dont give the choices