Lgraczyk: /* Results */

2022-03-07T12:14:38Z

Results

← Older revision		Revision as of 12:14, 7 March 2022
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	Output:		Output:
-	P(5<X<10) ~~z gestosci~~: 0.245723	+	P(5<X<10) from the density: 0.245723
-	P(5<X<10) ~~z dystrybuanty~~: 0.245723	+	P(5<X<10) from the cumulative distribution: 0.245723
-	~~Srednia z funkcji~~ TF1: 5.98798	+	Mean from the function TF1: 5.98798

-	~~Srednia analitycznie~~: 6	+	Mean analytically: 6
-	~~Wariancja z funkcji~~ TF1: 35.3988	+	Variance from TF1: 35.3988
-	~~Wariancja analitycznie~~: 36	+	Variance analytically: 36
-	~~Moda~~: 0	+	Mode: 0
	x0.25: 1.74		x0.25: 1.74
	x0.5: 4.16		x0.5: 4.16
	x0.75: 8.32		x0.75: 8.32

Lgraczyk: Created page with "{| align="right" | TOC |} ==Zadanie== Let X be a random variable that has a probability distribution function f(x): File:wzor_lab2.png Please do: * Draw the probabilit..."

2022-03-07T12:13:29Z

Created page with "{| align="right" | __TOC__ |} ==Zadanie== Let X be a random variable that has a probability distribution function f(x): File:wzor_lab2.png Please do: * Draw the probabilit..."

New page

{| align="right"
| __TOC__
|}

==Zadanie==

Let X be a random variable that has a probability distribution function f(x):
[[File:wzor_lab2.png]]

Please do:
* Draw the probability distribution function f(x) (0.5 pkt)
* Draw the cumulative distribution F(x). Cumulative distribution has to be drawn numerically and analytically. (1 pkt)
* Calculate the probability P(5 <= X <= 10) (0.5 pkt)
* Calculate the expected value E(X) and compare with the analytic result (1 pkt)
* Calculate the variance V(X) and compare with the analytic result(1 pkt)
* Calculate mode (0.5 pkt)
* Calculate quantiles: (0.5 pkt)
** lower quartile
** median
** upper quartile

==Results==
Plots:
[[File:lab2_3.png]]

Output:
P(5<X<10) z gestosci: 0.245723
P(5<X<10) z dystrybuanty: 0.245723
Srednia z funkcji TF1: 5.98798

Srednia analitycznie: 6
Wariancja z funkcji TF1: 35.3988
Wariancja analitycznie: 36
Moda: 0
x0.25: 1.74
x0.5: 4.16
x0.75: 8.32

KADD 2022 Laboratorium 2 EN - Revision history

Lgraczyk: /* Results */

Lgraczyk: Created page with "{| align="right" | __TOC__ |} ==Zadanie== Let X be a random variable that has a probability distribution function f(x): File:wzor_lab2.png Please do: * Draw the probabilit..."

Lgraczyk: Created page with "{| align="right" | TOC |} ==Zadanie== Let X be a random variable that has a probability distribution function f(x): File:wzor_lab2.png Please do: * Draw the probabilit..."