Refer to the following table: Age nx dx lx mx lx mx 0 100 35

step 1 Hello to students. Today we are going to be answering this question where they want to know how

Refer to the following table: Age nx dx lx ...

Refer to the following table: $$ \begin{array}{llllll} \text { Age } & n_{x} & d_{x} & l_{x} & m_{x} & l_{x} m_{x} \\ 0 & 100 & 35 & 1.00 & 0 & 0 \\ 1 & 65 & ? & 0.65 & 0 & 0 \\ 2 & 45 & 15 & ? & 3 & 1.35 \\ 3 & 30 & 20 & 0.30 & 1 & ? \\ 4 & 10 & 10 & 0.10 & 1 & 0.10 \\ 5 & 0 & 0 & 0.00 & 1 & 0.0 \end{array} $$ How many individuals die between their first and second birthday? a. 65 b. 45 c. 35 d. 25 e. 20

Refer to the following table:
$$
\begin{array}{llllll}
\text { Age } & n_{x} & d_{x} & l_{x} & m_{x} & l_{x} m_{x} \\
0 & 100 & 35 & 1.00 & 0 & 0 \\
1 & 65 & ? & 0.65 & 0 & 0 \\
2 & 45 & 15 & ? & 3 & 1.35 \\
3 & 30 & 20 & 0.30 & 1 & ? \\
4 & 10 & 10 & 0.10 & 1 & 0.10 \\
5 & 0 & 0 & 0.00 & 1 & 0.0
\end{array}
$$
How many individuals die between their first and second birthday?
a. 65
b. 45
c. 35
d. 25
e. 20

Key Concepts

Life Table

A life table is a demographic tool that summarizes the mortality experience of a cohort by displaying the number of individuals surviving to various ages and the number of deaths in each age interval. It is used in actuarial science, epidemiology, and demography to understand survival patterns and forecast future mortality.

Survival Function (l_x)

The survival function, often denoted as l_x, represents the proportion of the original cohort that is still alive at the beginning of age x. This function typically starts at 1 (or 100%) at birth and declines with each successive age interval as deaths occur.

Death Distribution (d_x)

The death distribution, denoted as d_x, indicates the number or proportion of individuals who die within a specific age interval. It is commonly calculated as the difference between the number of individuals alive at the start of one age interval and the number alive at the start of the following age interval.

Age Interval

Age intervals are the discrete segments (such as one year, five years, etc.) into which the lifespan is divided in a life table. Each interval is used to calculate and record survival probabilities and the number of deaths, allowing for a detailed analysis of mortality patterns across different ages.

Mortality Rate (m_x)

The mortality rate, denoted as m_x, measures the frequency of deaths within a specific age interval relative to the number of individuals at risk during that interval. It provides insight into the intensity of mortality and is used alongside survival and death distribution data to assess the overall mortality experience of the population.

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