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)

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.