If X-N(u,v) show that E((X-u)^3)=0. Hint: use symmetry.
...and since we don't care about X, but , we did get somewhere.
"Parity" has other meanings.
In this case, if you cube a negative number, what do you get? Positive or Negative?
If you cube two numbers, does their relationship change? In other words, if a > b, for a, b > 0, what can we say about a^3 vs. b^3? Same or different?
Go back to post #3 Where you were told that
Now write out as an integral and post what you get here.
As a further hint you will find the definition of the expectation of a function of a continuous RV in Definition 1 >>here<<
edit: removed, for some reason i didn't notice the earlier 10 replies on the thread, if anyone used my answer i think there was a sloppy change in my definition of f(x), be warned..