Using the normal distribution, it is found that:
- 3 - a) The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.
- 3 - b) The minimum height of man in the Dinaric Alps that would place him in the top 10% of all heights is of 76.84 inches.
- 4 - a) The 25th percentile for the math scores was of 71.6 inches.
- 4 - b) The 75th percentile for the math scores was of 78.4 inches.
<h3>Normal Probability Distribution
</h3>
In a <em>normal distribution </em>with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
Question 3:
- The mean is of 73 inches, hence
.
- The standard deviation is of 3 inches, hence
.
Item a:
The 40th percentile is X when Z has a p-value of 0.4, so <u>X when Z = -0.253</u>.




The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.
Item b:
The minimum height is the 100 - 10 = 90th percentile is X when Z has a p-value of 0.9, so <u>X when Z = 1.28</u>.




The minimum height of man in the Dinaric Alps that would place him in the top 10% of all heights is of 76.84 inches.
Question 4:
- The mean score is of 75, hence
.
- The standard deviation is of 5, hence
.
Item a:
The 25th percentile is X when Z has a p-value of 0.25, so <u>X when Z = -0.675</u>.




The 25th percentile for the math scores was of 71.6 inches.
Item b:
The 75th percentile is X when Z has a p-value of 0.25, so <u>X when Z = 0.675</u>.




The 75th percentile for the math scores was of 78.4 inches.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213
With what? Maybe I can help
<h2>
Explanation:</h2><h2>
</h2>
Hello! Remember you have to write clear questions in order to get good and exact answers. Here, I'll assume the function as:

The y-intercept of a function is the point at which the graph of the function touches the y-axis. This occurs when we set
. In other words, we define the y-intercept (let's call it
as:

Setting
in our function we have:

So <em>in this context the y-intercept is -16</em>
(2c) / (3b)
(2*6) / (3*2) =
12/6 =
2 <===
Answer:
The answer to your questions are in bold
Step-by-step explanation:
a)
C = ![\left[\begin{array}{ccc}-6&6\\-2&4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%266%5C%5C-2%264%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= -24 + 12
= -12
b) -1 7 -4 -1 -1 - 4 7 - 1 - 5 6
-2 -6 -8 8 = -2 - 8 -6 + 8 -10 2
2 -3 2 -7 2 + 2 -3 - 7 4 -10
-1 10 -6 5 -1 - 6 10 + 5 -7 15