Question

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 1

2.5 for plato

Explanation:

#platolivesmatter

Answer 2

2.28%

Explanation:

Let X be the number of books borrowed from a library each week

Given that X is normal with mean = 190 and std dev = 30

Thus Z score would be

Z=
`(x-190)/(30)`

Required probability or chance = P(X>250)

=P(
`z>(250-190)/(30)`

=P(Z>2)

=0.5-0.4772

=0.0228

=2.28%