A random variable x has density function f(x) = k/(1+x^2) where -inf < x < inf, then the value of K is


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The logic is to integrate the density function from -inf to inf and get a value of 1.

Integration of k/(1+x^2) = k*pi
k*pi = 1 so k= 1/pi


Integration dx/(1+x^2) is tan^-1 x. This is a direct formula from ncert.


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