Hotmail.com has now become Outlook.com
The nearest thing to an official Microsoft answer I have found is here http://answers.microsoft.com/en-us/outlook_com/forum/oemail-osend/how-to-set-up- mac-mail-to-sync-your-outlookcom/afdfe981-20c7-4d4a-b6b1-9329b27f018a
Since Hotmail.com has become Outlook.com it should apply to you as well.
I also found the following http://www.macworld.co.uk/how-to/mac-software/how-set-up-my-hotmail-account-on-m ac-3500828/
To summarise it should be possible to set it up in Apple Mail as (preferably) an IMAP type account, or also a POP3 type account. So far there does not seem to be a way to add the Contacts or Calendars to the respective programs on the Mac. Windows users can use Outlook and get all three.