Jane Wormley is a professor of management at a university.
She expects to be able to use her grant money to fund up to two students for research assistance. While she realizes that there is a 5% chance that she may not be able to fund any student, there is an 80% chance that she will be able to fund two students.
a. What is the probability that Jane will fund one student?
b. Construct a cumulative probability distribution of the random variable defined as the number of students that Jane will be able to fund.