Show that, if the random variable X has an F-distribution with ν1 and ν2 degrees of freedom, then Y = 1 X has an F-distribution with ν2 and ν1 degrees of freedom.

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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 Show that, if the random variable X has an F-distribution with ν1 and ν2 degrees of freedom, then Y =
1
X
has an F-distribution with ν2 and ν1 degrees of freedom.

X
Show that, if the random variable X has an F-distribution with ₁ and 2 degrees of freedom, then Y
has an F-distribution with 2 and 1₁ degrees of freedom.
Transcribed Image Text:X Show that, if the random variable X has an F-distribution with ₁ and 2 degrees of freedom, then Y has an F-distribution with 2 and 1₁ degrees of freedom.
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