l5p3 SPD

%Caracteristici numerice ale unei selectii
%media si dispersia de selectie
%Determinati prin simulare media si dispersia de selectie a unei variabile
%aleatoare repartizate uniform pe intervalul a,b. Comparati cu valorile
%teoretice.

% clc
% clear all
% help l5p3.m
%
% n=1000000;
% a=-3;
% b=5;
% x=rand(1,n)*(b-a)+a;
% ms=sum(x)/n
% ds=sum((x-ms).^2)/n
% mt=(a+b)/2
% dt=(b-a)^2/12

%Determinati prin simulare medai si dispersia de selectie a unei var
%aleatoare rep normal.comparati cu valorile teoretice

clc
clear all
help l5p3.m

n=100;
m=-3;
a=-3;
sigma=1/2;
b=5;

x=randn(1,n)*sigma+m;
x=rand(1,n)*(sigma^2-m)+m;
f=(1/(sigma*sqrt(2*pi)))*exp(-((x-m).^2)/(2*sigma^2));

ms=sum(x)/n
ds=sum((x-ms).^2)/n
%mt=(a+b)/2
%dt=(b-a)^2/12

mt=(m+sigma^2)/2
dt=((sigma^2-m)^2)/12