Theme:

PDF, CDF and Moments of Special Distributions

© 2021 Institute for Communications Engineering, Technical University of Munich
Authors: Matthias Niller, Carolin Mirschina & Tasnad Kernetzky

Distribution 1

0,0

$m_X=$

1.00

$\sigma_X=$

0.40

$\lambda_X=$

1.00

$x_{\rm min}=$

-2.00

$x_{\rm max}=$

3.00

$C_X=$

1.00

$k_X=$

1.00

$R_X=$

1.00

0,0

$ f_X(x_{*})= $

$F_X(x_{*})= $

$m_X= $

$P_X= $

$\sigma^2_X= $

$\sigma_X= $

$S_X= $

$K_X= $

0.0438

0.0062

1.0000

0.4000

1.4000

0.6325

0.0000

3.0000

Probability Density Function (PDF)

0,0

$ x \ \text{resp.} \ y $

0.25

0.5

0.75

$f_X(x)$

$f_Y(y)$

0,0

$x_{*}=$

0.00

$y_{*}=$

0.00

Cumulative Distribution Function (CDF)

0,0

$ x \ \text{resp.} \ y $

0.25

0.5

0.75

$F_X(x)$

$F_Y(y)$

Distribution 2

0,0

$m_Y=$

1.00

$\sigma_Y=$

0.40

$\lambda_X=$

1.00

$y_{\rm min}=$

-2.00

$y_{\rm max}=$

3.00

$C_Y=$

1.00

$k_Y=$

1.00

$R_Y=$

1.00

0,0

$ f_Y(y_{*})= $

$F_Y(y_{*})= $

$m_Y= $

$P_Y= $

$\sigma^2_Y= $

$\sigma_Y= $

$S_Y= $

$K_Y= $

0.2000

0.4000

0.5000

2.0833

2.3333

1.4434

0.0000

1.8000

Exercises

* First, select the number $(1,\ 2, \text{...} \ )$ of the task to be processed. The number "$0$" corresponds to a "Reset": Same setting as at program start.
* A task description is displayed. The parameter values are adjusted. Solution after pressing "Show Solution".
* In the following $\text{Red}$ stands for the random variable $X$ and $\text{Blue}$ for $Y$.

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