An MBA graduate is applying for nine jobs, and believes that she has in each of the nine cases a constant and independent 0.48 probability of getting an offer.
a. What is the probability that she will have at least three offers?
b. If she wants to be 95% confident of having at least three offers, how many more jobs should she apply for?
c. If there are no more than the original nine jobs that she can apply for, what value of probability of success would give her 95% confidence of at least three offers?