Question

for a class assignment, alan wanted to study whether or not the color of a person’s car correlates with the color of his or her hair. he spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. chart omitted how many total drivers were recorded? 4. what percentage of drivers drove a car that matched their hair color? show your work. 5. what percentage of light haired drivers drove a dark car? show your work. 6. what percentage of drivers driving a dark car had light hair? show your work. 7. what percentage of all drivers were dark haired and drove a dark car? show your work

Explanation:

Step1: Calculate total drivers

$2 + 8 + 5 + 4 = 19$

Step2: Q4: Find matching driver count

Light hair + light car: $2$; Dark hair + dark car: $4$. Sum: $2 + 4 = 6$

Step3: Q4: Compute matching percentage

$\frac{6}{19} \times 100\% \approx 31.58\%$

Step4: Q5: Total light-haired drivers

$2 + 8 = 10$; Dark car light hair: $8$

Step5: Q5: Compute percentage

$\frac{8}{10} \times 100\% = 80\%$

Step6: Q6: Total dark car drivers

$8 + 4 = 12$; Light hair dark car: $8$

Step7: Q6: Compute percentage

$\frac{8}{12} \times 100\% \approx 66.67\%$

Step8: Q7: Dark hair + dark car count: $4$

$\frac{4}{19} \times 100\% \approx 21.05\%$

Answer:

1. Total drivers: $19$
2. $\approx 31.58\%$
3. $80\%$
4. $\approx 66.67\%$
5. $\approx 21.05\%$