2002 Jeep Grand Cherokee

2002 Jeep Grand Cherokee V8 Four Wheel Drive Automatic 120000 miles

When I engage my alarm with my key remote it beeps and locks the doors but when you attempt to open any of the doors from the outside of the truck the alarm doesnt sound off. Although when I engage the alarm while sitting inside the truck and try to open the door the alram goes off. Is this normal? By the way the alarm is the factory alarm.
Please let me know what your thoughts are.

Thank you for your time.
Nicole Arney
September 28, 2010.

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