Question

Hi, can you help me answer this question, please, thank you!

Answer 1

QUESTION A

Calculate the z-score of 57.5.

The z-score formula is given to be:

`z=\frac{x-\bar{x}}{\sigma}`

where

Therefore, we have:

`z=(57.5-42.3)/(13.8)=1.101`

The probability is given to be:

QUESTION B

We will calculate two z scores.

Z-score of 40:

`z_1=(40-42.3)/(13.8)=-0.1667`

Z-score of 47.7:

`z_2=(47.7-42.3)/(13.8)=0.391`

Therefore,

[tex]\begin{gathered} P(40