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?

Question

Business

Carleen

18 August, 05:52

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?

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Answers (1)

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Kasey Thompson · Answer 1

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