Let X ,X ₁ X 2 , . . . , X ₁₁ X be a random sample from an n exponential distribution with density function Then the random variable B. Y= Which of the following is false A. X distribute chi-square with 2 degrees of freedom n 2.ΣΧ. X i=1 0 2 n X i=1 0 is a pivotal quantity C. None of the above

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 23E
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Let X₁, X₂...., XX ₁1 be a random sample from an
1
2
n
exponential distribution with density function
Then the random variable
B.
Y=
n
2.Σ.Χ.
X
i=1
0
Which of the following is false
A. X distribute chi-square with 2 degrees of
freedom
n
2.ΣΧ.
X
i=1
0
is a pivotal quantity
C. None of the above
Transcribed Image Text:Let X₁, X₂...., XX ₁1 be a random sample from an 1 2 n exponential distribution with density function Then the random variable B. Y= n 2.Σ.Χ. X i=1 0 Which of the following is false A. X distribute chi-square with 2 degrees of freedom n 2.ΣΧ. X i=1 0 is a pivotal quantity C. None of the above
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