There are 300 students in a twelfth grade high school class. 120 of these students have at least one sister and 100 have at least one brother. Out o the students that have at least one brother, there are 40 who have at least one sister and one brother. Let A be the event that a randomly selected student in the class has a sister and B be the event that the student has a brother. Based on this information, answer the following questions. What is P(A), the probability that the student has a sister? What is P(B), the probability that the student has a brother? What is P(A and B), the probability that the student has a sister and a brother? What is P(A|B), the conditional probability that the student has a sister given that he or she has a brother? Is P(A|B) = P(A)? Are the events A and B independent? Choose all answers that apply: Yes, P(A|B) = P(A). No, P(A B) P(A). Yes, events A and B are independent events. No, events A and B are not independent events.