Hey nodakgolfer.

Two events are independent if P(A and B) = P(A)P(B).

You have all the information in your table, but I'll calculate a few probabilities to get you started (that aren't exactly in the question).

P(NonNMjrs) = 2742/3537, P(NonNMjrs AND Females) = 1727/3537, P(NursingMajors|Females) = 700/2427.