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Jan 27, 2020 at 13:25 history edited R W CC BY-SA 4.0
deleted 120 characters in body
S May 2, 2018 at 10:01 history suggested Jeff CC BY-SA 4.0
Added a note to say when the answer is correct.
May 2, 2018 at 9:05 comment added R W If you have a different question then ask it separately. Concerning "finite support" which is "not necessarily the case now" - you had explicitly imposed this condition in the original version. Once again - manipulations like this are not a good practice.
May 2, 2018 at 9:04 review Suggested edits
S May 2, 2018 at 10:01
May 2, 2018 at 9:01 comment added Jeff the answer is correct if $X$ has a finite support, which is not necessarily the case. Moreover, the definition of $H(X)$ is problematic, as you mentioned, due to the continuous nature of $X$.
May 2, 2018 at 8:44 history answered R W CC BY-SA 4.0