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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.

Calculus For The Life Sciences
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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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
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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