Answer:
a) 
b) 
c) 
![Var(X)=E(X^2)-[E(X)]^2= \frac{1}{2}(e^2 -1) -(e-1)^2 = 0.242](https://tex.z-dn.net/?f=Var%28X%29%3DE%28X%5E2%29-%5BE%28X%29%5D%5E2%3D%20%5Cfrac%7B1%7D%7B2%7D%28e%5E2%20-1%29%20-%28e-1%29%5E2%20%3D%200.242)
Step-by-step explanation:
a) what must the value of C be so that f(x) is a probability density function?
In order to be a probability function we need this condition:
And solving the left part of the integral we have:
, so then
b) find P(X<2)
We can find this probability on this way using the density function:
c) find E(X) and Var(X)
We can find the expected value on this way:
In order to find the Var(X) we need to find the second moment given by:
And now we can use the following definition:
Answer:
5,33,8
Step-by-step explanation:
Answer:
I'm pretty sure it's 195 times
Step-by-step explanation:
(3, 23, 30-39 (extra for 33), 43, 53, 63, 73, 83, 93) x 5 = 95
95 + 100 (from 300's) = 195
You first have to distribute the negative to the second pair of parenthesis. So the new equation would be 2n-4-4n+3. Next you combine like terms. So your final answer is -2n-1.
<h2>
Hello!</h2>
The answer is:
The second option,
Zackery, because AB=BC
<h2>Why?</h2>
To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.
So, finding the distances we have:
From A to B: (2,3) and (4,4)
From B to C: (4,4) and (6,3)
Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:
Zackery, because AB=BC
Have a nice day!
