Where would you put the threshold to obtain a false alarm probability (Pfa) of 0.02? What is the resultant detection probability (Pd)?

Q4:

Assume a System Engineering class has 27 students, of which one third are female and two thirds are male. There were a total of 17 students (4 female and 13 male) that got the correct answer to the first problem in their 8th homework assignment. What is the probability that a male student got the correct answer?