find 1- FIND E (X) 2- FIND THE VARIANCE

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.83TI: Graph: f(x)=x2.
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find

1- FIND E (X)

2- FIND THE VARIANCE

PLEASE WRITE YOUR ANSWER WITH FULL DETAILS TO HELP ME TO UNDERSTAND THE WAY WELL

 

I FOUND THIS ANSWER HERE BUT I DIDNOT UNDERSTAND ANYTHING

 

 

 

We know the formula for mean
E(X) = fxf(x)dx
E(X) =
=
= 0 +
-∞0
xf(x) dx + √xf(x) dx
+ [₁ * x ( + x ² ² ) dx
-(x2 + 4x+8)e-
2
=
4
E(X) = 4
The mean = 4
KN
Transcribed Image Text:We know the formula for mean E(X) = fxf(x)dx E(X) = = = 0 + -∞0 xf(x) dx + √xf(x) dx + [₁ * x ( + x ² ² ) dx -(x2 + 4x+8)e- 2 = 4 E(X) = 4 The mean = 4 KN
f(x)
=
Jxe-i
0
{
x > 0
otherwise
Transcribed Image Text:f(x) = Jxe-i 0 { x > 0 otherwise
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