Check the picture below.
with negative angles, we go "clockwise", the same direction a clock hands move.
so -360-360-125 = -845.
so as you see in the picture, you go around twice, and then a little bit more, an extra 125°, landing you at -125°, or its positive counterpart, 235°.
Answer:
We can find the second moment given by:
And we can calculate the variance with this formula:
![Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246](https://tex.z-dn.net/?f=%20Var%28X%29%20%3DE%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%207.496%20-%282.5%29%5E2%20%3D%201.246)
And the deviation is:
Step-by-step explanation:
For this case we have the following probability distribution given:
X 0 1 2 3 4 5
P(X) 0.031 0.156 0.313 0.313 0.156 0.031
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
We can verify that:
And 
So then we have a probability distribution
We can calculate the expected value with the following formula:
We can find the second moment given by:
And we can calculate the variance with this formula:
And the deviation is:
The values are |-3.25| = 3.25 and |-4.25| = 4.25
<h3>How to determine the values of the expressions?</h3>
The expressions are given as
|-3.25| and |-4.25|
The above expressions are absolute value expressions
And as a general rule, an absolute value expression, when evaluated must follow the following rule
|±a| = a
Using the above as a guide, we have
|-3.25| = 3.25
Also, we have
|-4.25| = 4.25
Hence, the values of the expressions are |-3.25| = 3.25 and |-4.25| = 4.25
Read more about absolute value expressions at
brainly.com/question/13282457
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