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

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1) Suppose tha Y is a random variable having an gamma distribution with a = 1, find
the value of k such that an interval from 0 to ky is a
(1 - a)100% confidence interval for the parameter ß.
Transcribed Image Text:1) Suppose tha Y is a random variable having an gamma distribution with a = 1, find the value of k such that an interval from 0 to ky is a (1 - a)100% confidence interval for the parameter ß.
2) Suppose that X is a random variable having a probability density function
{ (17) x ²²
xe
B²
f(x; B) =
=
Show whether or not
}
x > 0
0, elsewhere
2 Σ=1 Xi
В
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
is a pivotal quantity, Explain and if yes construct a
Transcribed Image Text:2) Suppose that X is a random variable having a probability density function { (17) x ²² xe B² f(x; B) = = Show whether or not } x > 0 0, elsewhere 2 Σ=1 Xi В 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 is a pivotal quantity, Explain and if yes construct a
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