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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.
(2)/(5); they are independent because P(A ∩ M) ≠ P(M) ⋅ P(A)
B.
(87)/(625); they are dependent because P(A ∩ M) ≠ P(M) ⋅ P(A)
C.
(87)/(250); they are independent because P(A ∩ M) = P(M) ⋅ P(A)
D.
(1)/(4); they are dependent because P(A ∩ M) = P(M) ⋅ P(A)

1 Answer

3 votes
I believe the answer is A
User Mike DaCosta
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