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stats #36 Chp 22: Suppose that W is a continuous random variable with cumulative distribution function FX(w) = (1/pi) arctan(w) + (1/2) and the probability

stats #36 Chp 22: Suppose that W is a continuous random variable with cumulative distribution function FX(w) = (1/pi) arctan(w) + (1/2) and the probability density function for W is 1/pi(1+w^(2))

let T=e^(-W). what is the pdf of T?

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