2) Suppose that X is a random variable having a probability density function xét, x>0 ((3²) ₁ - + xe 0, elsewhere f(x; B) = 2 ΣΕ, Χ ß 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 Show whether or not is a pivotal quantity, Explain and if yes construct a
2) Suppose that X is a random variable having a probability density function xét, x>0 ((3²) ₁ - + xe 0, elsewhere f(x; B) = 2 ΣΕ, Χ ß 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 Show whether or not is a pivotal quantity, Explain and if yes construct a
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question
![2) Suppose that X is a random variable having a probability density function
(2) xe ở
f(x; B) =
Show whether or not
ce 7, x>0
0, elsewhere
2 ΣΕ, Χε
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd589ba33-46f0-43e1-9ef3-a17990fe3dce%2F41e6bc3d-5125-4935-ae4b-330f115bd729%2Fkuc9a44_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2) Suppose that X is a random variable having a probability density function
(2) xe ở
f(x; B) =
Show whether or not
ce 7, x>0
0, elsewhere
2 ΣΕ, Χε
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The probability density function (PDF) of X is specified as follows:
Thus, from the above PDF, it can be seen that X follows a gamma distribution with parameters and , which is unknown.
So,
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