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(A|M), and are the events "the student is male" and "the student has blood type A" independent events? (7 points)
a) two over five end fraction ; they are independent because P(A ∩ M) ≠ P(M) ⋅ P(A)
b) 87 over 625 end fraction ; they are dependent because P(A ∩ M) ≠ P(M) ⋅ P(A)
c) 87 over 250 end fraction ; they are independent because P(A ∩ M) = P(M) ⋅ P(A)
d) one over four end fraction ; they are dependent because P(A ∩ M) = P(M) ⋅ P(A)
