Answer:
<h2>The probability is 58 %.</h2>
Step-by-step explanation:
This problem belong to a normal distribution probability.
Mean = 63.6
Standard Deviation = 2.5.
We have to find the probability of a height greater than 63.0.
Due to the normal probability, we need to find the Z score first:
; where x is the height, u is the mean, and o is the standard deviation.
![Z=\frac{63-63.6}{2.5} \\Z= -0.24](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B63-63.6%7D%7B2.5%7D%20%5C%5CZ%3D%20-0.24)
Once we have our Z score, we find the probability with the z-table (attached). So, for a z score of -0.24 we have a probability of 0.42.
But, the problem is asking for height greater than 63.0, this mean that we have to subtract 0.42 from 1, giving as result 0.58, which means a 58% of probability,