2. Suppose that 70% of students attend a 9:00 am course. Of these students, 80% have a course at

10:00. Suppose 60% of students have a course at 10:00.

Let A= Event that student has a course at 9:00, and B= Event that student has a course at 10:00

a. Find the probability a student has a class at 9:00.

b. Find the probability a student has a class at 10:00.

c. Find the probability a student has a class at 10:00, given that they have a class at 9:00.

d. Find the probability that a student has a class at 9:00 and a class at 10:00.

e. Is having a class at 9:00 and having a class at 10:00 independent? Justify an

answer.

f. Is having a class at 9:00 and having a class at 10:00 mutually exclusive? Justify answer.

g. What is the probability a student has a class at 9:00, given that they have a class at 10:00?

h. What is the probability a student has a class at 9:00 or a class at 10:00.