Question

A bookstore sells two types of books (fiction and nonfiction) in several formats (hardcover, paperback, digital, and audio). For the chance experiment that consists of observing the type and format of a single-book purchase, two of the eight possible outcomes are a hardcover fiction book and an audio nonfiction book. (a) There are eight outcomes in the sample space for this experiment. List these possible outcomes. O (fiction hardcover, fiction paperback, nonfiction digital, nonfiction audio, fiction hardcover, fiction paperback, nonfiction digital, nonfiction audio) O {fiction hardcover, fiction paperback, fiction digital, fiction audio, nonfiction hardcover, nonfiction paperback, nonfiction digital, nonfiction audio) O {fiction audio, fiction paperback, fiction digital, fiction audio, nonfiction audio, nonfiction paperback, nonfiction digital, nonfiction audio} O {fiction hardcover, fiction paperback, fiction hardcover, fiction paperback, nonfiction digital, nonfiction audio, nonfiction digital, nonfiction audio} O {nonfiction hardcover, nonfiction paperback, nonfiction digital, nonfiction audio, nonfiction hardcover, nonfiction paperback, nonfiction digital, nonfiction audio) (b) Do you think it is reasonable to think that the outcomes for this experiment would be equally likely? Explain. O Yes, there are likely to be equal amounts of each type and format available. O Yes, customers like each type and format equally. O No. For example, a customer is more likely to buy a paperback than a hardcover book. (c) For customers who purchase a single book, the estimated probabilities for the different possible outcomes are given in the cells of the accompanying table. Hardcover Paperback Digital Audio 0.25 0.35 Fiction 0.10 .10 Nonfiction 0.08 0.03 0.02 0.07 What is the probability that a randomly selected single-book purchase will be for a book in print format (hardcover or paperback)? (d) Compute the probability that a randomly selected single-book purchase will be for a book that is not in a print format. (e) Find the probability that a randomly selected single-book purchase will be for a work of fiction. Need Help? Rea Ta ter

Answer 1

SolM& ) Tybe of baks fiction& honfition format hardcover, paper back, digital & audlo So, there are s outcomes in the Sample Space. R) fic tion tardcover, ficHon paperback, fiction digital, fiction audio, nemfiction hardcover, enfiction paperback, monfiction digital, nenfiction audiof 6) Yes, it is realonable to think that the outcomes for this experimet arauld be equally likely. Since each of the component of this sample spoce ase mutually extustive annd each being sekcted exth equal probability

© Paob. berk in piint fosmat) = of hardcover) + Pid(boukf paperback) PRob. (buok %3D (0.25to-08) + (a 25to.03 0.33 to· 38 d) Paob. (bosk is notim print format =1- Paob. (bark is im þrint format) =1-0-71 = 0:29

a work of fiction) e) Parbability Cberk for E 0.25 t0.35 t 0.10+0.10 0 80
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