Mathematics

Underwood

10 July, 22:07

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.; they are independent because P (A ∩ M) ≠ P (M) ⋅ P (A)

B.; they are dependent because P (A ∩ M) ≠ P (M) ⋅ P (A)

C.; they are independent because P (A ∩ M) = P (M) ⋅ P (A)

D.; they are dependent because P (A ∩ M) = P (M) ⋅ P (A)