A Poisson Probability Question

[oVan]

Probabilities derived from an event with a Poisson Distribution.

P(T1<=0 | T2>0) 0.1573
P(T1<=1 | T2>1) 0.3975
P(T1<=2 | T2>2) 0.5004
P(T1<=3 | T2>3) 0.4229
P(T1<=4 | T2>4) 0.2751
P(T1<=5 | T2>5) 0.1488
P(T1<=6 | T2>6) 0.0698
P(T1<=7 | T2>7) 0.0291
P(T1<=8 | T2>8) 0.0109

What is P(T2>T1)?

I'm not sure if I have the notation correct but I intend the | to be interpreted as AND.

Any help on the correct method would be apprectiated!

[DrVanNostrin]

[ QUOTE ]
Probabilities derived from an event with a Poisson Distribution.

P(T1<=0 | T2>0) 0.1573
P(T1<=1 | T2>1) 0.3975
P(T1<=2 | T2>2) 0.5004
P(T1<=3 | T2>3) 0.4229
P(T1<=4 | T2>4) 0.2751
P(T1<=5 | T2>5) 0.1488
P(T1<=6 | T2>6) 0.0698
P(T1<=7 | T2>7) 0.0291
P(T1<=8 | T2>8) 0.0109

What is P(T2>T1)?

I'm not sure if I have the notation correct but I intend the | to be interpreted as AND.

Any help on the correct method would be apprectiated!

[/ QUOTE ]
P(A|B) is the probability of A given B, not that probability of A and B (in every notation I've ever seen).