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hichkok12 [17]
2 years ago
3

A librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.

Mathematics
1 answer:
larisa [96]2 years ago
3 0

Answer:

For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:

\frac{8}{18}

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

\frac{10}{17}

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

\frac{7}{16}

Sinally since the events are independent the total probability would be:

\frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114

Step-by-step explanation:

For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:

\frac{8}{18}

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

\frac{10}{17}

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

\frac{7}{16}

Sinally since the events are independent the total probability would be:

\frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114

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Answer:

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It looks like you're given

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Then by the additivity of definite integrals this is the same as

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Then by the fundamental theorem of calculus, we have

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Edited 2018-03-18
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Answer:

Therefore,

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Step-by-step explanation:

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