Let X be uniformly distributed on -1-1-- Find the density of Y-Xk for.docx
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Let X be a uniformly distributed random variable on the interval [1, 1]. To find the density of Y = X^k, where k is a positive integer, differentiate between whether k is odd or even. Use the method from class of finding the density of a transformation of a random variable to determine the density of Y.
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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](https://image.slidesharecdn.com/letxbeuniformlydistributedon-1-1-findthedensityofy-xkfor-230223044906-ac29197c/85/Let-X-be-uniformly-distributed-on-1-1-Find-the-density-of-Y-Xk-for-docx-1-320.jpg)
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Let X be uniformly distributed on -1-1-- Find the density of Y-Xk for.docx
- 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