TV shows in Windows

In the new apt. I am going to move into, the living room has two windows...one on the front wall and one on the side wall. The why the apt is designed and utilize space the tv(about to purchase a 50 inch plasma) goes on the wall that is opposite of one window(facing the window) and the other window is on the side of the tv. This will make the tv visible from the windows when the blinds are open(on my days off from work I enjoy opening the blinds and letting the sun in). My apt. will is in the front of the building..faceing the street. I am worried this will invite burglerers. The area seems safe since on the city police web site I see that there have been no robberies in the past 2 years on my street. But I am still worried. With my alarm system and the stickers on the door/windows, will this be enough to deter any burglerers that may spot my tv in the window? Or is there to much risk with this arrangement?

Here's kind of a diagram in ascii:

wall
--------------------------------------------------
|............................tv........................|
|......................................................|.
|..................................................... | Window
|......................................................|
|......................................................|door
------------------[----]--------------------------
Window

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single line of parking for cars

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Street