Verification of central limit theorem
AIM: Simulating the Central Limit Theorem with the Uniform Distribution in MATLAB.
OBJECTIVE: To verify Central limit theorem using MATLA
EQUIPMENT:
PC with windows (95/98/XP/NT/2007).
MATLAB Software
PROGRAM:
uniform_RVs = [];
sample_averages = [];
random_draw = [];
for i = 1:500
for j = 1:100
random_draw = [random_draw 1+rand];
end
sample_averages = [sample_averages mean(random_draw)];
uniform_RVs = [uniform_RVs random_draw];
random_draw = [];
end
figure(1)
hist(uniform_RVs, 25)
xlabel('Observation')
ylabel('Frequency')
figure(2)
hist(sample_averages, 25)
xlabel('Observation')
ylabel('Frequency')
sample_mean = mean(sample_averages)
sample_var = var(sample_averages)
CONCLUSION: Thus Cental limit theorem is verified using MATLAB
OUTCOME: The Student must be able to understand how to verify Central limit theorem using MATLAB
VIVA QUESTIONS:
? Define Central limit Theorem?
? List the applications of Central limit Theorem?

UpdatedMar 03, 2020

Views486
Sampling theorem verification
Finding the even and odd parts of signal/sequence and real and imaginary parts of signal
Basic operations on Matrices
Genaration of various signals and sequences
Computation of unit sample, unit step and sinusoidal response of the given LTI system and verifying its physical reliability and stability properties
Auto correlation and cross correlation between signals and sequences