3b only

Q3. (10 points) Suppose your department models mortality via the following PDF of a newborn: 1 f 0 (x) = m for 0 5 x S 120. As there is limited documentation on the model, you would like to derive particular expressions for your analysis: a) Derive th for 0 S x + t S 120. b) Derive mx 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, 7110;), in terms of x for 0 S x <_: e derive var in terms of x for s>