In a statistics class of 30 students, there were 16 men and 14 women.Two of the men and three of the women received an A in the course.A student is chosen at random from the class.Note:Making a 2X2 contingency table might help with this problem.

a.Find the probability that the student is a woman.

13/30

b.Find the probability that the student received an A.

c.Find the probability that the student is a woman or received an A.

d.Find the probability that the student did not receive an A.

e.Find the probability that the student is a man and received an A.

f.Given that the student received an A, what is the probability that the student is a woman?

g.Are the events Woman and receiving an A mutually exclusive?Explain

h.Are the events Male and not receiving an A independent events?Show work to confirm your answer.

i.P(A or M)=

j.P(M or W)=