Your second attempt is correct. Here is the working jsFiddle: http://jsfiddle.net/MEHhs/
So the code should be:
html:
<div id="picture_here">
<img src="http://www.sbtjapan.com/img/FaceBook_img.jpg" id="picture"/>
</div>
<div id="about">
<div id="mtl">Mtl</div>
</div>
<div id="about_2">
<div id="contact">SF</div>
</div>
js:
$('#mtl').click(function(){
$('#picture').attr('src', 'http://profile.ak.fbcdn.net/hprofile-ak-ash3/41811_170099283015889_1174445894_q.jpg');
});
I’ve added some existing images found on google.