Help in solving the following questions in the attachments below.

(i) (a) State the definition of a f distribution. (b) Hence, using X ~ N (u,62) and (n -1)52/62 ~ X2_1, show that: X - U s/ n me In-1 [3] (ii) (a) State the definition of an F. , distribution. (b) Hence, using (n-1)So ~ Xx_1, show that for suitably defined samples: [3] (iii) Show that: P ( Fm. n > a ) = b => P( Fm.m