Question

select the correct answer from the drop-down menu.

the number of books borrowed from a library each week follows a normal distribution. when a sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30.

there is a choose an answer % chance that more than 250 books were borrowed in a week.

options in drop-down:
99.7
95
13.5
2.5

Explanation:

Calculate the z-score for 250 books

$$ z = \frac{x - \mu}{\sigma} = \frac{250 - 190}{30} = \frac{60}{30} = 2 $$

Apply the Empirical Rule (68-95-99.7 Rule)

$$
LATEXBLOCK0
$$

Match with the given options

$$ \text{Option value} = 2.5 $$

Answer:

• 99.7
• 95
• 13.5
• 2.5 (Correct answer)