Question: A machine produces copper wire and occasionally there is a flaw at some point along the wire. The length of wire produced (in metres) between

A machine produces copper wire and occasionally there is a flaw at some point along the wire. The length of wire produced (in metres) between successive flaws is a continuous random variable X with density

f(x) = c(1+x)^(-3) when x>0

or f(x)=0 when x<=0

where c is a positive constant.

Determine the value of c.

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