3) The probability density function for Y is given by -7₁ e y > 0 (0, elsewhere f(y) = 30 And its cumulative distribution function is given by F(y) = {1-e%, y > 0 0, elsewhere a) Use the cumulative distribution method or transformation method to show that is a pivotal quantity. (6)

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
Section13.3: Special Probability Density Functions
Problem 36E
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3) The probability density function for Y is given by
- feet, y>
е
f(y)=0
y > 0
(0, elsewhere
And its cumulative distribution function is given by
F(y) = {1-e%, y > 0
0, elsewhere
a) Use the cumulative distribution method or transformation method to show that is a pivotal
quantity.
(6)
Transcribed Image Text:3) The probability density function for Y is given by - feet, y> е f(y)=0 y > 0 (0, elsewhere And its cumulative distribution function is given by F(y) = {1-e%, y > 0 0, elsewhere a) Use the cumulative distribution method or transformation method to show that is a pivotal quantity. (6)
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