Let X be a continuous random variable with a uniform distribution in the interval [0, 1], i.e., X ∼ Uniform(0, 1). We define a new random variable Y as Y = e^X. Find the probability density function (PDF) of Y.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Let X be a continuous random variable with a uniform distribution in the interval [0, 1], i.e., X ∼ Uniform(0, 1). We define a new random variable Y as Y = e^X. Find the probability density function (PDF) of Y.

 

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