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Mr. Phillips is a librarian at Westside Library. In examining a random sample of the library's book collection, he found the following.
902 books had no damage,
88 books had minor damage, and
35 books had major damage.
Based on this sample, how many of the 76,500 books in the collection should Mr. Phillips expect to have no damage? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Mr. Phillips is a librarian at Westside Library. In examining a random sample of the library's book collection, he found the following. $\newline$ $902$ books had no damage, $\newline$ $88$ books had minor damage, and $\newline$ $35$ books had major damage. $\newline$ Based on this sample, how many of the $76$ , $500$ books in the collection should Mr. Phillips expect to have no damage? Round your answer to the nearest whole number. Do not round any intermediate calculations.

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Multi-step problems with unit conversions

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Q. Mr. Phillips is a librarian at Westside Library. In examining a random sample of the library's book collection, he found the following.

\newline

902

books had no damage,

\newline

88

books had minor damage, and

\newline

35

books had major damage.

\newline

Based on this sample, how many of the

76

,

500

books in the collection should Mr. Phillips expect to have no damage? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Calculate Total Books: Calculate the total number of books sampled and the proportion of undamaged books. $\newline$ Total books sampled = $902$ (undamaged) + $88$ (minor damage) + $35$ (major damage) = $1025$ . $\newline$ Proportion of undamaged books = $\frac{902}{1025}.$
Estimate Undamaged Books: Apply the proportion of undamaged books to the total collection to estimate the number of undamaged books. $\newline$ Expected undamaged books in total collection = $(902 / 1025) * 76,500$ .
Find Expected Number: Perform the calculation to find the expected number of undamaged books. $\newline$ Expected undamaged books = $(902 / 1025) * 76,500 \approx 67,073.17$ . $\newline$ Round to nearest whole number: $67,073$ .

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