Question

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?
A. $\frac{2}{5}$; they are independent because P(A ∩ M) ≠ P(M) ⋅ P(A)
B. $\frac{87}{625}$; they are dependent because P(A ∩ M) ≠ P(M) ⋅ P(A)
C. $\frac{87}{250}$; they are independent because P(A ∩ M) = P(M) ⋅ P(A)
D. $\frac{1}{4}$; they are dependent because P(A ∩ M) = P(M) ⋅ P(A)

Answer 1

I believe the answer is A