+165 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)
