A statistics teacher has 40 students in his class, 23 feld

and 17 males. At the beginning of class on a Monday, the

teacher planned to spend time reviewing an assignment due

that day. Unknown to the teacher, only 19 of the females and

11 of the males had completed the assignment. The teacher

plans to randomly select students to do problems from the

assignment on the whiteboard.

(a) What is the probability that a randomly selected

student has completed the assignment?

(b) Are the events "selecting a female" and "selecting a

student who completed the assignment" indepen-

dent? Justify your answer.