x-[x] is a periodic function and its graph is a repetition of triangles (like sawtooth wave) between integers and area of one such trianlge is 1/2 sq. units. So when you integrate this between 0 to 2, you get ans. as 1/2+1/2=1 Multiply by k so the ans is k.1 = k which should be equal to 1 for given function to be a valid PDF
x-[x] is a periodic function and its graph is a repetition of triangles (like sawtooth wave) between integers and area of one such trianlge is 1/2 sq. units. So when you integrate this between 0 to 2, you get ans. as 1/2+1/2=1
ReplyDeleteMultiply by k so the ans is k.1 = k
which should be equal to 1 for given function to be a valid PDF