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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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