Question

select the correct answer.

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?

about 60% of the books have fewer than 150 pages.
about 16% of the books have fewer than 150 pages.
about 95% of the books have more than 150 pages.
about 16% of the books have more than 150 pages.

Explanation:

Calculate the z-score for 150 pages

$$
LATEXBLOCK0
$$

Apply the Empirical Rule

$$
LATEXBLOCK1
$$

Evaluate the options

$$
LATEXBLOCK2
$$

Answer:

• About 60% of the books have fewer than 150 pages.
• About 16% of the books have fewer than 150 pages. (Correct answer)
• About 95% of the books have more than 150 pages.
• About 16% of the books have more than 150 pages.