TABLE 2- 1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results.
$$\begin{array} { l l }
\hline \mathrm { X } & \mathrm { f } \
\hline 1 & 14 \
2 & 18 \
3 & 12 \
4 & 5 \
5 & 1 \
\hline
\end{array}$$
-Referring to Table 2-1, how many total claims are represented in the sample?
A) 50
B) 15
C) 111
D) 250

Question

TABLE 2- 1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results.
 $$\begin{array} { l l } 
\hline \mathrm { X } & \mathrm { f } \
\hline 1 & 14 \
2 & 18 \
3 & 12 \
4 & 5 \
5 & 1 \
\hline
\end{array}$$
-Referring to Table 2-1, how many total claims are represented in the sample?
A) 50
B) 15
C) 111
D) 250

Quizplus · Accepted Answer

The total number of claims is calculated by multiplying each number of claims (X) by its frequency (f) and summing the results: (1*14) + (2*18) + (3*12) + (4*5) + (5*1) = 111.

TABLE 2- 1 an Insurance Company Evaluates Many Numerical Variables Xf1142183124551\begin{array} { l l } \hline \mathrm { X } & \mathrm { f } \\\hline 1 & 14 \\2 & 18 \\3 & 12 \\4 & 5 \\5 & 1 \\\hline\end{array}X12345​f14181251​​

TABLE 2- 1
an Insurance Company Evaluates Many Numerical Variables $\begin{array} { l l } \hline \mathrm { X } & \mathrm { f } \\\hline 1 & 14 \\2 & 18 \\3 & 12 \\4 & 5 \\5 & 1 \\\hline\end{array}$