Question

1. In a large class, 60% (0.60) are science majors and 40% (0.40) are liberal arts majors. Twenty percent (0.20) of the science majors are seniors, whereas 30% (0.30) of the liberal arts majors are seniors. (Ask yourself, “Why is there a lot of space below?”)

a. The teacher randomly selects a student and the student indicates that she is majoring in science. Given that the student is majoring in science, what is the probability that she is a senior?

b. What proportion of the students in the class are seniors?

Answer 1