False. In fact, no states are sovereign. Hoped this helped.
From the given discrete distribution, we have that:
![\mu = 2.13, \sigma^2 = 0.61, \sigma = 0.78](https://tex.z-dn.net/?f=%5Cmu%20%3D%202.13%2C%20%5Csigma%5E2%20%3D%200.61%2C%20%5Csigma%20%3D%200.78)
<h3>What are the mean, the variance and the standard deviation of a discrete distribution?</h3>
- The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
- The variance is given by the sum of the difference squared between each observation and the mean, divided by the number of values.
- The standard deviation is the square root of the variance.
In this problem, the distribution is:
![P(X = 1) = \frac{2}{8}](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20%5Cfrac%7B2%7D%7B8%7D)
![P(X = 2) = \frac{3}{8}](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
![P(X = 3) = \frac{3}{8}](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Hence, the mean is:
![\mu = 1\frac{2}{8} + 2\frac{3}{8} + 3\frac{3}{8} = \frac{17}{8} = 2.13](https://tex.z-dn.net/?f=%5Cmu%20%3D%201%5Cfrac%7B2%7D%7B8%7D%20%2B%202%5Cfrac%7B3%7D%7B8%7D%20%2B%203%5Cfrac%7B3%7D%7B8%7D%20%3D%20%5Cfrac%7B17%7D%7B8%7D%20%3D%202.13)
The variance is:
![\sigma^2 = (1-2.13)^2\frac{2}{8} + (2-2.13)^2\frac{3}{8} + (3-2.13)^2\frac{3}{8} = 0.61](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%20%281-2.13%29%5E2%5Cfrac%7B2%7D%7B8%7D%20%2B%20%282-2.13%29%5E2%5Cfrac%7B3%7D%7B8%7D%20%2B%20%283-2.13%29%5E2%5Cfrac%7B3%7D%7B8%7D%20%3D%200.61)
The standard deviation is:
![\sigma = \sqrt{0.61} = 0.78](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B0.61%7D%20%3D%200.78)
More can be learned about discrete distributions at brainly.com/question/24855677
The answer to this is:
7/19
Hello there!
We are going to follow the volume of a sphere since a volleyball is a sphere. V=4/3πr^3 is the formula for finding the volume of a sphere. The only unknown value is r, or the radius. We find the radius by halving the diameter.
8/2 = 4, so we have a radius of 4 inches.
Place the value of 4 in for r - V = 4/3 x π x (4)^3
Now solve.
V = 4/3 x π x (4)^3
Start by squaring 4.
V = 4/3 x π x 64
Next, multiply 4/3 by 64. (<em>you can do it in any order since there are no parenthesis</em>)
V = π x 85.33
Lastly, multiply 85.33 by pi.
V = 268.08
So, your answer is approximately 268.08, since we used rounding it is not exact. I hope this was helpful and have a great rest of your day! :)