select the correct answer from the drop - down menu. the number of books borrowed from a library each week…

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 % chance that more than 250 books were borrowed in a week.

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 % chance that more than 250 books were borrowed in a week.

Answer

Explanation:

Step1: Calculate the z - score

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x = 250$, $\mu=190$, and $\sigma = 30$. So $z=\frac{250 - 190}{30}=\frac{60}{30}=2$.

Step2: Find the probability

We want $P(X>250)$. Using the standard normal distribution table, $P(Z < 2)=0.9772$. Then $P(Z>2)=1 - P(Z < 2)=1 - 0.9772 = 0.0228$. To convert to a percentage, we multiply by 100, so the percentage is $2.28%$.

Answer:

$2.28$