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# A student who is trying to write a paper for a course has ISBN: 9780321629111 32

## Solution for problem 61E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 61E

A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?

Step-by-Step Solution:

Solution : Step 1 : It is given that the student have two choices to select a topic A or B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. Student believe that in order to make a good note at least half of the books ordered for either topic should receive on correct time.If the probability that a book ordered through interlibrary loan actually arrives in time is .9. We have to find that which topic should the student choose to maximize the probability of writing a good paper. How this will change if the arrival probability is 0.5 Step 2 : 1) Lets check the each cases. Case 1 If the student chose choice A the he/she need one of the ordered book on time to write a good paper. Here probability that a book arrive on the correct time is = 0.90 And probability that a book not arrive in the correct time is = 0.10 In this case probability that no book arrive on correct time is= 0.10*0.10 = .01 So Probability that at least one of the book on the correct time is= 1-.01 =.99 Case 2 If the student select the 2nd choice B Then he/she needs at least 2 books at a time to write a paper So in this case probability that no book arrive on correct time is =0.1*.1*.1*.1 =.0001 Probability that at least one of the book on the correct time is = 4*0.1*0.1*.0.1*0.9(since the events are independent) = .0036 So it is clear that choosing topic A is the correct option to write a good paper on correct time.

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##### ISBN: 9780321629111

The answer to “A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?” is broken down into a number of easy to follow steps, and 117 words. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. Since the solution to 61E from 3 chapter was answered, more than 303 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 61E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This full solution covers the following key subjects: books, Topic, Probability, Paper, chosen. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9.

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