Complete the two-way frequency table below, which shows the distribution of blood types for students in their first year at a local college.

O A B AB Total

Male (M) 210 174 74 42

Female (F) 315 261 111 63

Total

What is P(F|A), and are the events "the student is female" and "the student has blood type A" independent events?

A 261/1,250 ; they are independent because P(F ∩ A) ≠ P(F) ⋅ P(A)

B 87/250 ; they are dependent because P(F ∩ A) ≠ P(F) ⋅ P(A)

C 3/5 ; they are independent because P(F ∩ A) = P(F) ⋅ P(A)

D 1/4 ; they are dependent because P(F ∩ A) = P(F) ⋅ P(A)

hay24
Apr 12, 2018