Answer:
A sophomore is less likely than a Junior to have a job.
Step-by-step explanation:
Given the table in the attached image.
The total number of sophomores is
![35](https://img.qammunity.org/2023/formulas/mathematics/high-school/cb64dmefcnjl1667u4r3ri8hwgo0rxn5d9.png)
The number of sophomores with a job is;
![12](https://img.qammunity.org/2023/formulas/mathematics/college/qu7n5s8f653542zjpxxfivilyqfkh2a2e5.png)
The probability that a sophomore had a job is;
![P_S=(12)/(35)](https://img.qammunity.org/2023/formulas/mathematics/college/42nfy1e6d00nxjt5xayxfxugqw7wtg934j.png)
The total number of Juniors is
![37](https://img.qammunity.org/2023/formulas/mathematics/high-school/4b92hkwh2ebicmiyyzhb0140wnupq0q0kn.png)
The number of Juniors with a job is;
![27](https://img.qammunity.org/2023/formulas/mathematics/high-school/efc22o6usmho4jcewydv1v4f0zrw8r2cwg.png)
The probability that a Junior had a job is;
![P_J=(27)/(37)](https://img.qammunity.org/2023/formulas/mathematics/college/aeufuuyeyfb5t78h23uz19u9pk4wywvnyr.png)
From the derived Probability, we can observe that the probability that a Junior had a job is greater than the probability that a Sophomore had a job.
![P_J>P_S](https://img.qammunity.org/2023/formulas/mathematics/college/41ps36jvzfev8pnh5aretosy47u6lur51t.png)
Therefore, A sophomore is less likely than a Junior to have a job.