Researchers asked students at a mid-size university in Pennsylvania, "What was the most important factor in choosing a university?" In total, 834 randomly selected undergraduate students were surveyed. The following two-way table summarizes the responses.

	Freshmen	Sophomore	Junior	Senior	Total
Reputation	104	97	82	76	359
Cost	72	58	61	63	254
Size of School	67	60	57	37	221
Total	243	215	200	176	834

1. What is the probability a randomly selected student is a sophomore?

1. What is the probability a randomly selected student chose their university based on reputation?

1. What is the probability a randomly selected student is not a sophomore? (6 pt)

1. Given that a student is a junior, what is the probability that student chose the school based on cost?

1. Given that a student chose the school based on cost, what is the probability that student is a junior?

1. What is the probability a student chose the school based on reputation given the student is a sophomore?

1. What is the probability a randomly selected student is a senior and chose the school based on size?

1. If two students are selected at random, without replacement, what is the probability they are both juniors?

1. If two students are selected at random, without replacement, what is the probability the first student is a freshman and the second student is a sophomore?

1. What is the probability a randomly selected student chose the school based on cost or size?

1. What is the probability a randomly selected student is a senior or chose the school based on size?