A graduating student keeps applying for jobs until she gets an offer. The probability of getting an offer at any trial is 0.35.

a. What is the expected number of applications? What is the variance?

b. If she has enough time to complete at most four applications, how confi- dent can she be of getting an offer within the available time?

c. If she wants to be at least 95% confident of getting an offer, how many applications should she prepare?

d. Suppose she has time for at most four applications. For what minimum value of p can she have 95% confidence of getting an offer within the available time?