Question

The probability that a randomly selected individual in a country earns more than 75,000 per is 10.5%. the probability that a randomly selected individual in a country earns more than 75,000 per year, given that the individual has earned a bacholer’s degree is 21.5%. The events are “earned more than 75,000” and “earned a bacholer’s degree”. Are these events independent?

Answer 1

B=bachelor's degree
H=high income

P(H)=0.105
P(H|B)
=P(H∩B)/P(B)
=0.215
=>
P(H∩B)=P(H|B)*P(B)
=0.215*0.105
>0
So H and B are not independent.

Answer 2

Ty