Meaning of Independent Identically distributed random variables

[dionysian]

I am a little fuzzy on the meaning of Independent Identically distributed random variables. I understand the independent part but still not 100% on the identically distributed part. I understand that identically distributed means they have the same pdf and cdf but does this mean that they have the same mean and variance?

For example if i have a sequence of random variables: N(0,1),N(2,4),N(3,5) and they are all independent are they IID?

 

[jav]

If they have the same pdf, then they by definition have the same mean and variance.

 

[mathman]

For example if i have a sequence of random variables: N(0,1),N(2,4),N(3,5) and they are all independent are they IID?

They are all normal, but since the parameters are different, the distribution functions are different. (Not IID, only I).

 

[dionysian]

Thanks.