Question

the probability that a randomly - selected individual in a country earns more than $75,000 per year is 11.5%. the probability that a randomly selected individual in the country earns more than $75,000 per year, given that the individual has earned a bachelors degree, is 11.5%. are the events \earn more than $75,000 per year\ and \earned a bachelors degree\ independent? are these events independent? yes no

Explanation:

Step1: Recall independence formula

Two events $A$ and $B$ are independent if $P(A|B)=P(A)$. Let $A$ be the event "earn more than $\$75,000$ per year" and $B$ be the event "earned a bachelor's degree".
We are given that $P(A) = 0.115$ and $P(A|B)=0.115$.

Step2: Check independence condition

Since $P(A|B)=P(A) = 0.115$, the two events satisfy the condition for independence.

Answer:

Yes