2. A retail giant, Mississippi, sells books on its website. The book Lisa Panner and the Accountant's Ledger (LP for short) is sold in the hardcover version, paperback version, audiobook version, or the e-book version to be read on its proprietary device Ignite. It is known that no one buys both hardcover and paperback of LP, and that no one buys both hardcover and e-book. Of the customers interested in LP, Mississippi has found that 15% have bought the hardcover, 35% have bought the paperback, 20% have bought the audiobook and 30% have bought the e-book. Furthermore, 30% have bought either the hardcover or the audiobook (or both), and 10% have bought both the paperback and the audiobook. Only 3% have bought all three of paperback, e-book and audiobook. (a) What fraction of the interested customers have bought exactly one of the paperback or the audiobook? (b) (Somewhat hard) If 5% of interested customers have bought both audiobook and e-book, what fraction have bought only the audiobook? (Hint: Drawing the Venn diagram will be helpful. Try to break the set of customers who bought an audiobook into mutually exclusive sets so that you can use additivity.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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2. A retail giant, Mississippi, sells books on its website. The book Lisa Panner and the
Accountant's Ledger (LP for short) is sold in the hardcover version, paperback version, audiobook
version, or the e-book version to be read on its proprietary device Ignite.
It is known that no one buys both hardcover and paperback of LP, and that no one buys both
hardcover and e-book.
Of the customers interested in LP, Mississippi has found that 15% have bought the hardcover,
35% have bought the paperback, 20% have bought the audiobook and 30% have bought the
e-book. Furthermore, 30% have bought either the hardcover or the audiobook (or both), and
10% have bought both the paperback and the audiobook. Only 3% have bought all three of
paperback, e-book and audiobook.
(a) What fraction of the interested customers have bought exactly one of the paperback or
the audiobook?
(b) (Somewhat hard) If 5% of interested customers have bought both audiobook and e-book,
what fraction have bought only the audiobook? (Hint: Drawing the Venn diagram will
be helpful. Try to break the set of customers who bought an audiobook into mutually
exclusive sets so that you can use additivity.)
Transcribed Image Text:2. A retail giant, Mississippi, sells books on its website. The book Lisa Panner and the Accountant's Ledger (LP for short) is sold in the hardcover version, paperback version, audiobook version, or the e-book version to be read on its proprietary device Ignite. It is known that no one buys both hardcover and paperback of LP, and that no one buys both hardcover and e-book. Of the customers interested in LP, Mississippi has found that 15% have bought the hardcover, 35% have bought the paperback, 20% have bought the audiobook and 30% have bought the e-book. Furthermore, 30% have bought either the hardcover or the audiobook (or both), and 10% have bought both the paperback and the audiobook. Only 3% have bought all three of paperback, e-book and audiobook. (a) What fraction of the interested customers have bought exactly one of the paperback or the audiobook? (b) (Somewhat hard) If 5% of interested customers have bought both audiobook and e-book, what fraction have bought only the audiobook? (Hint: Drawing the Venn diagram will be helpful. Try to break the set of customers who bought an audiobook into mutually exclusive sets so that you can use additivity.)
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