Answer:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:

Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:

And replacing we got:

Now we can find the second moment given by:

And replacing we got:

And the variance would be given by:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:

The yearly fee can be subtracted, resulting in 170-25.50=144.5
So with 10.50 a session, you must divide, resulting in around 13.8 sessions.
13 sessions if you need a whole number.
Hope this helps
Answer:
109.3 yard²
Step-by-step explanation:
Area of triangle = bh / 2
base is 23yd
height is 9.5yd
bh / 2 = 23 × 9.5 / 2
Area = 218.5 / 2
Area = 109.25 yd²; rounded to the nearest tenth is 109.3yd²
(93+75+86+x)/4=81
93+75+86+x=324
The sum of the scores is 324. Now solve for x:
254+x=324
x=70
The answer is 70