Answer:
Step-by-step explanation: 50r - 6= 82r-70
Add 50r to 82r which equals to 132 r
Now add the the 70 to the left side so -6+70 should equal 76.
Now it should look like this 76=132r
To get the value of r you have to divide 76/132 on both sides of the equation and your answer should be 0.57=r
Answer:
Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
Step-by-step explanation:
Answer:
<h2>

</h2>
Step-by-step explanation:

Multiply through by 6 to eliminate the fraction
That's

Move - 18f³ to the right side of the equation
That's

Divide both sides by M to make B stand alone
That's

We have the final answer as

Hope this helps you
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:
![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:
