75% of all students at a certain school are undergraduates. The rest are graduate students. 6% of the undergraduates at this college are Math majors.

a. Draw a tree diagram with the given information.

b. Find the probability that a randomly chosen student is a math major and an undergraduate.

c. Find the probability that a randomly chosen student is a math major.

d. Find the probability that a randomly chosen undergraduate is a math major.

e. Find the probability that a randomly chosen student is an undergraduate given they are a math major.