A student who is trying to write a paper for a coursehas a choice of two topics, A and B. If topic A is chosen,the student will order two books through interlibraryloan, whereas if topic B is chosen, the studentwill order four books. The student believes that a goodpaper necessitates receiving and using at least half thebooks ordered for either topic chosen. If the probabilitythat a book ordered through interlibrary loanactually arrives in time is .9 and books arrive independentlyof one another, which topic should the studentchoose to maximize the probability of writing a goodpaper? What if the arrival probability is only .5 insteadof .9?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?

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