Answer 3(a) only

Q3. (10 points) Suppose your department models mortality via the following PDF of a newborn: 1 f 0 (x) = m for 0 S x S 120. As there is limited documentation on the model, you would like to derive particular expressions for your analysis: a) Derive rpx for 0 S x + t S 120. b) Derive t|uqx for 0 S x + t + u S 120. c) Derive Pr {Kx s k} in terms ofk and x for 0 s x + k s 120. d) Derive the median, m(x), in terms of x for 0 S x S 120. e) Derive Var(Kx) in terms of x for 0 S x S 120