Suppose a professor randomly selects 3 new teaching assistants from a total of 10 applicants - 6 male and 4 female students. Let X be the number of female students who are hired.

1. What is a suitable probability distribution model in this case? Justify your choice. Create the table for this distribution and construct a histogram (g-sheets).
2. Determine the expected value of females that will be hired (use 2 methods).
3. Find the probability that no female students are hired.
4. Find the probability that fewer than three female students are hired.