Tuesday, March 23, 2010

iit gate 2007 maths question 51


A Request: If possible , make your justification.Can be helpful in understanding your choice.

1 comment:

  1. 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

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Please comment as it would help the students to understand a lot better.