and sen) halsaf Show that for random samples of size n from an exponential population with the parameter 0, the sampling distributions of Y1 and Y, are given by ny/ for vi> 0 81(1) = elsewhere and e-n"[1-eYn/0I"- for yn>0 elsewhere and that, for random samples of size n = 2m +1 from this kind of population, the sampling distribution of the median is given by %3D (2m +1)! m!m!e hã) = elsewhere 0.
and sen) halsaf Show that for random samples of size n from an exponential population with the parameter 0, the sampling distributions of Y1 and Y, are given by ny/ for vi> 0 81(1) = elsewhere and e-n"[1-eYn/0I"- for yn>0 elsewhere and that, for random samples of size n = 2m +1 from this kind of population, the sampling distribution of the median is given by %3D (2m +1)! m!m!e hã) = elsewhere 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Question
Transcribed Image Text:Do and sen)
EXAMPLE
in
Show that for random samples of size n from an exponential population with the
parameter 0, the sampling distributions of Y1 and Y, are given by
EXEYCISE
e-nyi/0 for v >0
81(V1) =
elsewhere
and
11
n/"[1-eYn/""-1 for V, > 0
elsewhere
and that, for random samples of size n = 2m +1 from this kind of population, the
sampling distribution of the median is given by
(2m +1)!
im+1)/#[1 - e
for >0
h(ã) =
m!m!e
elsewhere
1Statistics
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