consider rolling a die.
S= {1,2,3,4,5,6}
P(s)=1/6 for all s in S
X= number on die so that X(s)=s for all s in S
Y= X^2
compute the cumulative distribution function Fy(y) = P(Y<=y), for all y in the set of real numbers.
My guess
for Y=1 i get
P(inf<y<=1)=P(Y<=1)P(Y<inf)=Fx(1)Fx(inf)
= Fx(1)0
= Fx(1)
Is this all I have to do for Y=1, or do I have to integrate, or is there anything wrong?
