- #1
zyQuzA0e5esy2y
- 3
- 0
I'm having difficulties reading this, could someone please explain to me?
2 coins
Ω = {HH, HT, TH, TT}
0 = Tails
1 = Heads
PX,Y(x,y) = P({TT} n {HH}) for (x,y) = (0,0)
P({HH, HT,TH} n {HH}) for (x,y) = (1,0)
P({TT} n {TT, TH, HT}) for (x,y) = (0,1)
P({HH,HT,TH} n {TH,HT,TT}) for (x,y) = (1,1)
0 otherwise
PX,Y(x,y) = P(0) for (x,y) = (0,0)
P({HH}) for (x,y) = (1,0)
P({TT}) for (x,y) = (0,1)
0 otherwise
PX,Y(x,y) = 0.25 for (x,y) = (1,0)(0,1)
0.50 for(x,y) = (1,1)
0 otherwiseThat's basically the lay out i was given.
im not sure how to read for(x,y) = (0,0) and the others similar to it.
Solved it thank you, if anyone is curious i forgot to mention that X = 0 if the outcome equals to TT and if X = 1 for the outcome if it equals to HH HT TT..
Y = 0 if the outcome is equal to HH
Y = 1 if the outcome is equal to HT TT TH
2 coins
Ω = {HH, HT, TH, TT}
0 = Tails
1 = Heads
PX,Y(x,y) = P({TT} n {HH}) for (x,y) = (0,0)
P({HH, HT,TH} n {HH}) for (x,y) = (1,0)
P({TT} n {TT, TH, HT}) for (x,y) = (0,1)
P({HH,HT,TH} n {TH,HT,TT}) for (x,y) = (1,1)
0 otherwise
PX,Y(x,y) = P(0) for (x,y) = (0,0)
P({HH}) for (x,y) = (1,0)
P({TT}) for (x,y) = (0,1)
0 otherwise
PX,Y(x,y) = 0.25 for (x,y) = (1,0)(0,1)
0.50 for(x,y) = (1,1)
0 otherwiseThat's basically the lay out i was given.
im not sure how to read for(x,y) = (0,0) and the others similar to it.
Solved it thank you, if anyone is curious i forgot to mention that X = 0 if the outcome equals to TT and if X = 1 for the outcome if it equals to HH HT TT..
Y = 0 if the outcome is equal to HH
Y = 1 if the outcome is equal to HT TT TH
Last edited: