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Let X be uniformly distributed on [ 1 , 1 ] . Find the density of Y = X k for positive integers k .
Hint : differentiate the cases k odd/even and use the same method as we did in class for the case
X 2 where X was a normal random variable, using the formula for the density of a tranformation
of a random variable

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  • 1. Let X be uniformly distributed on [ 1 , 1 ] . Find the density of Y = X k for positive integers k . Hint : differentiate the cases k odd/even and use the same method as we did in class for the case X 2 where X was a normal random variable, using the formula for the density of a tranformation of a random variable