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.