Fill in the Blanks to complete the following life table for united states 1959-61:

Here is the completed life table for the United States, 1959-61. The calculations are based on standard life table formulas, rounding $d_x$ to the nearest integer and $e_x$ to two decimal places. For $L_x$ in the first interval ($x=0$), the formula $L_0 = 0.3 \cdot l_0 + 0.7 \cdot l_1$ is used, which is a common approximation for $a_0 \approx 0.1$. For other intervals, $L_x = \frac{n}{2}(l_x + l_{x+n})$ is used. For the last open-ended interval ($x=85+$), L_{85} = T_{8 L_{85} = T_{85} = l_{85} / M_{85}$, where$M_{85}$is the central death rate for the open-ended interval. If$M_{85}$is not provided, a common approximation is$L_{85} = l_{85} \cdot e_{85}$. Since$e_{85} = T_{85} / l_{85}$and$T_{85} = L_{85}$for the last interval, we can use$L_{85} = l_{85} / q_{85}$if$q_{85}$is the probability of dying in the interval, and it's 1.0000. However, this would imply$L_{85} = l_{85}$, which is incorrect for an open-ended interval. A more appropriate approximation for