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

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A graduating student keeps applying for jobs until she gets an offer. The probability of getting…
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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?