finite Math 200 Question Help

MATH 200 Worksheet #21 Name: Section 7.5 1. The following data were obtained from the financial aid office of a certain university: Receiving Financial Not Receiving Total Aid (B) Financial Aid Undergraduate (A) 4,222 3,898 8,120 Graduate 1,879 731 2,610 Total 6,101 4,629 10,730 Let A represent the event that a student selected at random from this university is an undergraduate student and let B represent the event that a student selected at random is receiving financial aid. Find each of the following. a. P(A) b. P(B) b. P(B|A) d. P(A |B) c. P(AnB) f. P(AUB) d. Find the probability that a randomly selected student from this university is not receiving financial aid given the student is not an undergraduate. e. If a student is not an undergraduate, find the probability that he or she is receiving financial aid. f. Are the events A and B mutually exclusive? Justify your answer mathematically. g. Are the events A and B independent? Justify your answer mathematically