Question

The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what percent of the trees are between 20 and 30 years old?

Answer 1

The percentage that the trees are between 20 and 30 years old, base on the data you have given and by graphing its information, the percentage would be 78.88%. I hope you are satisfied with my answer and feel free to ask for more 

Answer 2

78.88%

Explanation:

We have been given that

`\mu=25,\sigma=4,x_1=20,x_2=30`

The z-score formula is given by

`z-\text{score}=(x-\mu)/(\sigma)`

For
`x_1=20`

`z_1=(20-25)/(4)\\\\z_1=-1.25`

For
`x_2=30`

`z_2=(30-25)/(4)\\\\z_2=1.25`

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

For the z score 1.25, we have the probability 0.8944

Therefore, the percent of the trees that are between 20 and 30 years old is given by

0.8944 - 0.1056

= 0.7888

=78.88%