Question

what is the conditional relative frequency of drivers to obey the law given that they know the law use percentages to answer and round to one decimal place

Answer 1

75.6% of drivers obey the law, given that they know the law.

From the provided table:

- Drivers who know the law and obey it = 155

- Total drivers who know the law = 205

To find the conditional relative frequency:

`\[\text{Conditional relative frequency} = \frac{\text{Drivers who know and obey the law}}{\text{Total drivers who know the law}} * 100\%\]`

`\[\text{Conditional relative frequency} = (155)/(205) * 100\%\]`

Calculating the fraction:

`\[\text{Conditional relative frequency} = (155)/(205) = 0.7561\]`

Converting to a percentage:

`\[\text{Conditional relative frequency} \approx 0.7561 * 100\% \approx 75.61\%\]`

Rounded to one decimal place, the conditional relative frequency is approximately 75.6%.

Answer 2

Number of drivers that knows and obey the laws= 205

Total number of drivers that knows the law = 175

Conditional relative frequency of drivers tthat obey the law given that they know the law is

`=(205)/(175)*100percent`

= 117.1 %