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)