Question

The probability that a randomly selected individual in a country earns more than​ $75,000 per year is 7.5​%. The probability that a randomly selected individual in the country earns more than​ $75,000 per​ year, given that the individual has earned a​ bachelor's degree, is 21.5​%. Are the events​ "earn more than​ $75,000 per​ year" and​ "earned a​ bachelor's degree"​ independent?

Answer 1

Answer:

event E and F are not independent

Explanation:

given data

earns = $75,000

probability E = 7.5​ %

probability E/F = 21.5​ %

solution

we consider that individually earn more than = E

individually a bachelor earn degree = F

so here 2 event E and F are independent

E occur not change probability of F.

than

P(E | F) = P(E). ...............1

but here

P(E | F) ≠ P(E).  

so that event E and F are not independent