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The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.

User Brybam
by
5.2k points

2 Answers

5 votes

Answer:

B. 16% have fewer than 150 pages

Explanation:

User DAnglin
by
5.5k points
4 votes

Answer:

option B.

About 16% of the books have fewer than 150 pages

Explanation:

Since we are dealing with a normal distribution

68.27% of the values will fall in the range with the standard deviation

(180-30 , 180+30) = (150, 210)

Approximately 15.86% of the values will be higher than 210

and the rest 15.86% will be lower than 150

So the correct answer is option B.

About 16% of the books have fewer than 150 pages

User Gamma
by
5.0k points
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