Suppose X~ Unif(0, 1). Let Y -2 ln(X). (a) Show that the random variable Y has a gamma distribution. What are its parameters? (b) Find the probability, P(Y > 1). ==

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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2. Suppose X~ Unif(0, 1). Let Y = −2ln(X).
(a) Show that the random variable Y has a gamma distribution. What are its parameters?
(b) Find the probability, P(Y > 1).
Transcribed Image Text:2. Suppose X~ Unif(0, 1). Let Y = −2ln(X). (a) Show that the random variable Y has a gamma distribution. What are its parameters? (b) Find the probability, P(Y > 1).
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