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Exercise 4 Show that if X ~ Fp.g, then the corresponding probability density function is: r() x-1 f(a) = %3D ;x> 0 (21) p+q (1+ )

Exercise 4 Show that if X ~ Fp.g, then the corresponding probability density function is: r() x-1 f(a) = %3D ;x> 0 (21) p+q (1+ )

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A distribution that comes up often in the design of experiments is: Definition 1 Let U and V be independent random variables, U ~ X(P), and V ~x'(q), then U X = (20) pV has the F distribution with p,q degrees of freedom. One writes X ~ Fp.g. Note that if T has the Student-t distribution with p degrees of freedom, then T² ~ F1,p- Exercise 4 Show that if X ~ Fp.q, then the corresponding probability density function is: r() -1 2 f(x) = ptq ; x>0 (21) px
Transcribed Image Text:A distribution that comes up often in the design of experiments is: Definition 1 Let U and V be independent random variables, U ~ X(P), and V ~x'(q), then U X = (20) pV has the F distribution with p,q degrees of freedom. One writes X ~ Fp.g. Note that if T has the Student-t distribution with p degrees of freedom, then T² ~ F1,p- Exercise 4 Show that if X ~ Fp.q, then the corresponding probability density function is: r() -1 2 f(x) = ptq ; x>0 (21) px
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