5 C. d. What is the distribution of (n-1)S²/0²? X-μ₂ S "What is the distribution of T=-

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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Part c and d
2. Let X₁, X2, ..., X₁, be id N(4. o) random variables. Let X-X, In and S²
a.
b.
C.
d.
What is the distribution of X?
What is the covariance of X and S²?
What is the distribution of (n-1)S²/0²?
"What is the distribution of T =
X-μ?
$/√n
S
(n-1)
(x,-X).
Transcribed Image Text:2. Let X₁, X2, ..., X₁, be id N(4. o) random variables. Let X-X, In and S² a. b. C. d. What is the distribution of X? What is the covariance of X and S²? What is the distribution of (n-1)S²/0²? "What is the distribution of T = X-μ? $/√n S (n-1) (x,-X).
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