Continuous random variables 3. Find the expected values of the continuous random variables with probability density function 1 f(x)= for x ≥ 1 (1+x²) 0 otherwise Does not exist

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Continuous random variables
3. Find the expected values of the continuous random variables with probability density function
1
f(x) = π(1+x²)
for x ≥ 1
0
otherwise
Does not exist
Example: Find the variance and standard deviation for the continuous random variables X, Y, and Zwith den-
Ae-A for 20
for a < 0
[6(x-²) for 0≤x≤1
2r for 0≤x≤1
sity functions p(x) =
-{6
g(x) =
e(x) =
1
1
for other r
10
for other r
to
Transcribed Image Text:Continuous random variables 3. Find the expected values of the continuous random variables with probability density function 1 f(x) = π(1+x²) for x ≥ 1 0 otherwise Does not exist Example: Find the variance and standard deviation for the continuous random variables X, Y, and Zwith den- Ae-A for 20 for a < 0 [6(x-²) for 0≤x≤1 2r for 0≤x≤1 sity functions p(x) = -{6 g(x) = e(x) = 1 1 for other r 10 for other r to
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