The density function of a random variable X is given by:f(x)={(cx , 0<X<2 0 otherwise)┤Find the value of c.
Since ∫_(-∞)^∞ 〖f(x)〗 dx=1∴1=c∫_0^2 x dx=c/2 [x^2 ]_0^2=2c→c=1/2
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Since ∫_(-∞)^∞ 〖f(x)〗 dx=1
need an explanation for this answer? contact us directly to get an explanation for this answer∴1=c∫_0^2 x dx=c/2 [x^2 ]_0^2=2c→c=1/2