What are the events?

Question

A dean has found that 62% of entering freshmen and 78% of community college transfers eventually graduate. Of all entering students, 73% are entering freshmen and the remainder are community college transfers.

a. What is the probability that a randomly chosen entering student is an entering freshman who will eventually graduate?

b. Find the probability that a randomly chosen entering student will eventually graduate.

c. What is the probability that a randomly chosen entering student either is an entering freshman or will eventually graduate (or both)?

d. Are the events “eventually graduates” and “enters as community college transfer” statistically independent?

Answer 1

.a) .73(.62) = .4526 = 45.26% chance a randomly selected student is an entering freshman will graduates

b) .73(.62) + .27(.78) = .4526 + .,2106 = .6632 = 66.32% probability a student will graduate

c) Pr(freshman or graduate or both) = Pr(freshman) + Pr(graduate) - Pr(fr ^

..