Thread: simple proof of expected value...

CV are random variables.
Whats a hint to show if C<=V, then E(C)<=E(V)?

my bad attempt
if C<=V then
P(C=s)<=p(V=s) for all s
so summation of C*P(C=c) has to be smaller then summation of V*(V=v)
so then E(C)<=E(V)


thanks for helping

Originally Posted by Sneaky

CV are random variables.
Whats a hint to show if C<=V, then E(C)<=E(V)?

my bad attempt
if C<=V then
P(C=s)<=p(V=s) for all s
so summation of C*P(C=c) has to be smaller then summation of V*(V=v)
so then E(C)<=E(V)


thanks for helping

Are they continuous rv's or discrete? (It looks from your working that you are assuming discrete?)