Question

The two-way frequency table contains data on the preference of two colors among a group of males and females.PinkBlueTotalMale92130Female214970Total3070100Based on this data, are "Female" and "Blue" independent events? aNo, P(Female ∩ Blue) ≠ P(Female) ⋅ P(Blue) bNo, P(Female ∩ Blue) = P(Female) ⋅ P(Blue) cYes, P(Female ∩ Blue) ≠ P(Female) ⋅ P(Blue) dYes, P(Female ∩ Blue) = P(Female) ⋅ P(Blue)

Answer 1

Answer:

The correct option is:

d

Yes, P(Female ∩ Blue) = P(Female) ⋅ P(Blue)

Explanation:

Two events are dependent where happen together. In this case, blue happens without female happens (there are males that choose blue), thus they're independent events

The formula for two independent events is:

P(A ∩ B) = P(A) · P(B)