1. Administrators at a state University collected a random sample of students from each of the four undergraduate classes (180 freshmen, 220 sophomores, 120 juniors, and 100 seniors) and record the following information: gender, age, time spent on social media daily, GPA, and the number visits to an academic advisor. Below are some data tables from the study: Freshman, Fr Sophomore, S Junior, J Senior, Sr Total Female, F 100 120 65 55 340 Male, M 80 100 55 45 280 Total 180 220 120 100 620 a. What is the probability that a randomly selected student is a sophomore? probability statement: P( fraction answer: b. What is the probability that a randomly selected student is male and a junior? probability statement: P( fraction answer: c. What is the probability that a randomly selected student is female or a freshman? probability statement: P( fraction answer: d. What is the probability that a student is a senior, given they are male? probability statement: P( fraction answer: e. What is the probability that a randomly selected student is junior or a senior? probability statement: P( fraction answer: f. What is the probably that a student is a female, given they are a senior? probability statement: P( fraction answer: g. Are the events "female" and "junior" independent? YES NO (Explain with numbers) h. Are the events "freshman" and "sophomore" mutually exclusive? YES NO (Explain) i. Are the events "freshman" and "male" mutually exclusive? YES NO (Explain)