b) Suppose that a random variable X has a probability density function given as (2(ß-x) B² f(x; B) = 0 < x

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
Section13.1: Continuous Probability Models
Problem 28E
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b) Suppose that a random variable X has a probability density function given as
(2(ß-x)
B²
0<x<B
0,
elsewhere
i) Use an appropriate method to show that W = is a pivotal quantity.
ii) Construct a 90% upper confidence limit for ß, using part i) of Question b).
f(x; B) =
}
Transcribed Image Text:b) Suppose that a random variable X has a probability density function given as (2(ß-x) B² 0<x<B 0, elsewhere i) Use an appropriate method to show that W = is a pivotal quantity. ii) Construct a 90% upper confidence limit for ß, using part i) of Question b). f(x; B) = }
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