1) Suppose tha Y is a random variable having an gamma distribution with a = 1, fin the value of k such that an interval from 0 to ky is a (1 − a)100% confidence interval for the parameter B.

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
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Question 1
1) Suppose tha Y is a random variable having an gamma distribution with a = 1, fine
the value of k such that an interval from 0 to ky is a
(1-a) 100% confidence interval for the parameter B.
2) Suppose that X is a random variable having a probability density function
((7) x²
a
bba9b078-e2f7-4.mp4
f(x; B) =
< CO
xetxeo
Show whether or not
2X1, Xi is a pivotal quantity, Explain and if yes construct a
B
98% Confidence interval for ß if a random sample is given by
2.4, 4.6, 3.3, 3.1, 4.6, 2.2, 3.8
0, elsewhere
1b7e49f432c288b.mp4
PAGES INCLUDING COVER PAGE.
MJD MANAMELA
Transcribed Image Text:1) Suppose tha Y is a random variable having an gamma distribution with a = 1, fine the value of k such that an interval from 0 to ky is a (1-a) 100% confidence interval for the parameter B. 2) Suppose that X is a random variable having a probability density function ((7) x² a bba9b078-e2f7-4.mp4 f(x; B) = < CO xetxeo Show whether or not 2X1, Xi is a pivotal quantity, Explain and if yes construct a B 98% Confidence interval for ß if a random sample is given by 2.4, 4.6, 3.3, 3.1, 4.6, 2.2, 3.8 0, elsewhere 1b7e49f432c288b.mp4 PAGES INCLUDING COVER PAGE. MJD MANAMELA
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