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R = {(x,y): |x| + |y| <= 1 }

Find the probability density function of the x-coordinate of the point selected at random.

By definition f(x) = the integral of f(x,y) over all y values.

after this I'm pretty much stuck. does f(x,y) = 1/4? I mean the definition is simple I think it's just me not knowing how to deal with the modulus signs.

(Is the region a square(diamond) intersecting at (0,1)(1,0)(-1,0)(0,-1))

Any help always appreciated.

Thanks.