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 confident 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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 confident 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?

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