Tube behind CCV - M62 - Vent?

[Danno54]

2001 X5 with M62. So I had to replace the water outlet to valve hose because it was leaking (the sharp corner of the plastic piece on the hose clamp cut into the hose when it expanded). When I was removing the water outlet end of the coolant hose that is right behind the CCV I noticed a small diameter hose that was not connected to anything. It's about 3/8" in diameter. Is this hose supposed to connect to something? Is it a vent? I've included a photo of it.

Thanks

Danno

[wpoll]

Vent tube for the transmission.

There's a similar one further forward on the left for the front diff.

[Danno54]

I appreciate the information. Thanks!