Answered

Among the licensed drivers in the same age group, what is the probability that a driver between the ages of 25 and 34 was involved in an accident? Use the table below.

\begin{tabular}{|l|l|l|l|}
\hline
Age group & \begin{tabular}{l}
Drivers in \\
accidents \\
(thousands)
\end{tabular} & \begin{tabular}{l}
Drivers in \\
fatal \\
accidents
\end{tabular} & \begin{tabular}{l}
Licensed \\
drivers \\
(thousands)
\end{tabular} \\
\hline
19 and under & 2150 & 5,400 & 10,034 \\
\hline
[tex]$20-24$[/tex] & 2620 & 8,700 & 17,173 \\
\hline
[tex]$25-34$[/tex] & 3740 & 10,700 & 35,712 \\
\hline
[tex]$35-44$[/tex] & 3220 & 9600 & 40,322 \\
\hline
[tex]$45-54$[/tex] & 3030 & 9400 & 40,937 \\
\hline
[tex]$55-64$[/tex] & 1990 & 6500 & 30,355 \\
\hline
[tex]$65-74$[/tex] & 790 & 3800 & 17,246 \\
\hline
75 and over & 560 & 4300 & 13,321 \\
\hline
\end{tabular}

A. [tex]$12.5\%$[/tex]

B. [tex]$10.5\%$[/tex]

C. [tex]$17.3\%$[/tex]



Answer :

GinnyAnswer
To find the probability that a licensed driver between the ages of 25 and 34 was involved in an accident, we need to consider the given data and follow these steps:

1. Identify the relevant data:
- Drivers in accidents (ages 25-34): 3740 (in thousands)
- Licensed drivers (ages 25-34): 35,712 (in thousands)

2. Calculate the probability:
- The probability is found by dividing the number of drivers in accidents by the number of licensed drivers.
- Probability [tex]\( P \)[/tex] = (Number of drivers in accidents) / (Number of licensed drivers)

3. Convert the probability to a percentage:
- Multiply the probability by 100 to convert it to a percentage.

Let's proceed step-by-step:

1. Number of drivers in accidents: 3740
2. Number of licensed drivers: 35,712

3. Calculate the probability:
[tex]\[ P = \frac{3740}{35712} \][/tex]

4. Convert to a percentage:
[tex]\[ P(\text{percentage}) = \frac{3740}{35712} \times 100 \][/tex]

After performing these calculations, the answer is:
[tex]\[ P(\text{percentage}) = 10.472670250896057\% \][/tex]

Therefore, the probability that a licensed driver between the ages of 25 and 34 was involved in an accident is 10.5%.

The closest answer choice provided in the options is:
B. 10.5%

Other Questions