Help in addressing the following questions.

A continuous cashflow is to be paid at a rate p() = 10+2t, OS/$10. The force of interest applicable during the period is: 6(t) = 0.05 +0.01t, Ost$ 10 Find the accumulated value of the cashflow at the end of the ten-year period. [6](i) (a) State the definition of a f distribution. (b) Hence, using X ~ N(u.o') and (n-1)S' /o' ~ X7_]. show that: X- Hat- S/Vn [3] (ii) (a) State the definition of an Fm, distribution. (b) Hence, using (n-1)$3/o' ~ xm-1. show that for suitably defined samples: [3] (Hii) Show that: P(F>a)=b -> PF,. <_ random sample of n observations is taken from a normal distribution with variance the an observation variable show that: e var>