The area above the triangle that the line y = x makes is twice as large as the area below the triangle. y is a 2 to 1 favorite. There is only one probability that is twice its complement. That is 2 / 3. The probability the P(y > x ) = 2 / 3 so P(x < y ) = 2 / 3.

anonimnystefy

2012-12-14 12:38:28

Hi cooljackiec

Bobbym's answer is correct. Take a closer look and try plotting a few values fir (x,y) to see which area the points will belong.

And, welcome to the forum!

cooljackiec

2012-12-14 12:21:08

actually, bobbym The point (x,y) satisfies x<y if and only if it belongs to the shaded triangle bounded by the lines x=y,y=2 , and , x=0 the area of which is 2. The rectangle has area 6, so the probability in question is 1/3

bobbym

2012-03-23 12:34:13

Math will wait.

anonimnystefy

2012-03-23 12:31:47

Don't understand.

bobbym

2012-03-23 12:29:41

Let the problems of the day be sufficient for the day.

anonimnystefy

2012-03-23 12:28:43

And yet math is awaiting.

bobbym

2012-03-23 12:26:07

Yawning, sleepy eyelids, a general buildup of toxins and a lowering of body temperature all signalling the need for sleep...

anonimnystefy

2012-03-23 12:21:09

Yes it is.

bobbym

2012-03-23 12:20:24

Is it not 2:20 AM?

anonimnystefy

2012-03-23 12:19:02

Noooooooooooo...

bobbym

2012-03-23 12:17:17

Hi anonimnystefy;

It is late and time for you to rest. I will see you tomorrow.

anonimnystefy

2012-03-23 12:14:24

Hi bobbym

yes that's how i did it,i just flipped the rectangle around the y=x line.

bobbym

2012-03-23 12:03:16

Hi;

Or the answer is the area enclosed by the rectangle on top and the line y = x.