I am newbie and I want to install a mail server and I get the following log

from=<azizali@mail.productgrowthcanada.com>, size=638, nrcpt=1 (queue active)
Jun 3 14:21:38 mail postfix/qmgr[2915]: D0C79C0C88: from=<root@mail.productgrowthcanada.com>, size=632, nrcpt=1 (queue active)
Jun 3 14:22:09 mail postfix/smtp[3052]: connect to mx3.hotmail.com[65.55.37.72]:25: Connection timed out
Jun 3 14:22:09 mail postfix/smtp[3055]: connect to mx1.hotmail.com[65.55.37.72]:25: Connection timed out
Jun 3 14:22:09 mail postfix/smtp[3054]: connect to mx3.hotmail.com[65.55.33.119]:25: Connection timed out
Jun 3 14:22:39 mail postfix/smtp[3055]: connect to mx4.hotmail.com[65.55.92.152]:25: Connection timed out
Jun 3 14:22:39 mail postfix/smtp[3054]: connect to mx1.hotmail.com[65.54.188.72]:25: Connection timed out
Jun 3 14:22:39 mail postfix/smtp[3052]: connect to mx2.hotmail.com[65.54.188.126]:25: Connection timed out
Jun 3 14:23:09 mail postfix/smtp[3055]: connect to mx4.hotmail.com[65.55.92.184]:25: Connection timed out
Jun 3 14:23:09 mail postfix/smtp[3054]: connect to mx3.hotmail.com[65.55.37.104]:25: Connection timed out
Jun 3 14:23:09 mail postfix/smtp[3052]: connect to mx2.hotmail.com[65.54.188.72]:25: Connection timed out
Jun 3 14:23:39 mail postfix/smtp[3052]: connect to mx1.hotmail.com[65.55.37.72]:25: Connection timed out
Jun 3 14:23:39 mail postfix/smtp[3054]: connect to mx3.hotmail.com[65.55.92.184]:25: Connection timed out
Jun 3 14:23:39 mail postfix/smtp[3055]: connect to mx3.hotmail.com[65.55.37.72]:25: Connection timed out
Jun 3 14:24:09 mail postfix/smtp[3055]: connect to mx4.hotmail.com[65.54.188.126]:25: Connection timed out
Jun 3 14:24:09 mail postfix/smtp[3054]: connect to mx4.hotmail.com[65.55.92.184]:25: Connection timed out
Jun 3 14:24:09 mail postfix/smtp[3052]: connect to mx4.hotmail.com[65.54.188.126]:25: Connection timed out

Hi,
maybe the IP, from which you try to connect to hotmail, is a dialup/home user IP. Hotmail knows about these IP ranges and - AFAIK - blocks them.

Try connecting by hand, maybe that gives you more info:
telnet 65.55.37.72 25
<Look at what the other side says>
<Put in your hostname, e.g. dig -x your-external-ip>:
ehlo <hostname>
<see what hotmail says>
quit

Post the full text of that "conversation" here, don't cut away anything.
HTH,
Upuetz