Twenty-Five Percent of All Resumes Received by a Corporation for a Management

Short Answer

Twenty-five percent of all resumes received by a corporation for a management position are from females. Fifteen resumes will be received tomorrow.
a.What is the probability that exactly 5 of the resumes will be from females?
b.What is the probability that fewer than 3 of the resumes will be from females?
c.What is the expected number of resumes from women?
d.What is the variance of the number of resumes from women?