Question: compute for mean and variance Definition 2.4. A continuous r.v. X is said to have an F-distribution with m (numerator) and n (denominator) degrees of

compute for mean and variance

compute for mean and variance Definition 2.4. A continuous r.v. X is

Definition 2.4. A continuous r.v. X is said to have an F-distribution with m (numerator) and n (denominator) degrees of freedom (d.f.) if, and only if, the PDF of X is given by r m + n 2 m/2 r(m/2)-1 fx (x; m, n) = r (m+n)/2 I(0.00) (x), m, n, EZ+ 1 +-I Notation: X ~ Fm.n Mean: E(X) = n > 2 n - 2 2n-(m + n - 2) Variance: Var(X) m(n - 2)2(n - 4) n>4 MGF: DNE

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