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OpenIntro Statistics | 3rd Edition | ISBN: 9781943450039 | Authors: David M Diez; Christopher D Barr; Mine Çetinkaya-Rundel
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Books on a bookshelf. The table below shows the

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QUESTION:

Books on a bookshelf. The table below shows the distribution of books on a bookcase based on whether they are nonfiction or fiction and hardcover or paperback. Format Hardcover Paperback Total Type Fiction 13 59 72 Nonfiction 15 8 23 Total 28 67 95 (a) Find the probability of drawing a hardcover book first then a paperback fiction book second when drawing without replacement. (b) Determine the probability of drawing a fiction book first and then a hardcover book second, when drawing without replacement. (c) Calculate the probability of the scenario in part (b), except this time complete the calculations under the scenario where the first book is placed back on the bookcase before randomly drawing the second book. (d) The final answers to parts (b) and (c) are very similar. Explain why this is the case

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QUESTION:

Books on a bookshelf. The table below shows the distribution of books on a bookcase based on whether they are nonfiction or fiction and hardcover or paperback. Format Hardcover Paperback Total Type Fiction 13 59 72 Nonfiction 15 8 23 Total 28 67 95 (a) Find the probability of drawing a hardcover book first then a paperback fiction book second when drawing without replacement. (b) Determine the probability of drawing a fiction book first and then a hardcover book second, when drawing without replacement. (c) Calculate the probability of the scenario in part (b), except this time complete the calculations under the scenario where the first book is placed back on the bookcase before randomly drawing the second book. (d) The final answers to parts (b) and (c) are very similar. Explain why this is the case

ANSWER:

Q: Books on a bookshelf. The table below shows the distribution of books in a bookcasebased on whether they are nonfiction or fiction and hardcover or paperback.(a) Find the probability of drawing a hardcover book first then a paperback fiction booksecond when drawing without replacement.(b) Determine the probability of drawing a fiction book first and then a hardcover booksecond, when drawing without replacement(c) Calculate the probability of the scenario in part (b), except this time complete thecalculations under the scenario where the first book is placed back on the bookcase beforerandomly drawing the second book.(d) The final answers to parts (b) and (c) are very similar. Explain why this is the case Step By Step SolutionStep 1 of 4:(a)Find the probability of drawing a hardcover book first then a paperback fiction book secondwhen drawing without replacement.Number of hardcover books:28Total number of books:95Probability drawing a hardcover book: ......................(1)Now the number of books left is 94.Number of books in paperback fiction:59Probability of drawing a paperback fiction from 94 books:Thus the probability of drawing a hardcover book and then a paperback fiction isThus the probability is 0.185 or 18.5%\n

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