I am in Introduction to MATLAB and I dont know how to solve

I am in Introduction to MATLAB and I don\'t know how to solve this problem. Please explain each step legibly on how to program the code. Thanks!

Part II (MATLAB implementation) (a) write and test a MATLAB program that simulates the experiment of rolling two die N times and generates estimates of the following statistics a. The relative probability that the number of spots is equal to (2, 3, 11, 12) b. The percentage difference between the most frequent and the least frequent of the 36 possible outcomes. (b) Run the program with N 31,000, 10,000, 100,000 and 1,000,000 (c) What do you observe about the behavior of the estimated statistics as Nincreases?

Solution

clc;

close all;

clear all;

%% Program starts here

N=1000

EXP_DATA=ceil(rand(1,N)*11+1);

max(EXP_DATA);

min(EXP_DATA);

[bins]=hist(EXP_DATA,11);

probability=bins/N

min_pro=min(probability);

max_pro=max(probability);

error_pct=(max_pro-min_pro)*100/max_pro

N=10000

EXP_DATA=ceil(rand(1,N)*11+1);

max(EXP_DATA);

min(EXP_DATA);

[bins]=hist(EXP_DATA,11);

probability=bins/N

min_pro=min(probability);

max_pro=max(probability);

error_pct=(max_pro-min_pro)*100/max_pro

N=100000

EXP_DATA=ceil(rand(1,N)*11+1);

max(EXP_DATA);

min(EXP_DATA);

[bins]=hist(EXP_DATA,11);

probability=bins/N

min_pro=min(probability);

max_pro=max(probability);

error_pct=(max_pro-min_pro)*100/max_pro

N=1000000

EXP_DATA=ceil(rand(1,N)*11+1);

max(EXP_DATA);

min(EXP_DATA);

[bins]=hist(EXP_DATA,11);

probability=bins/N

min_pro=min(probability);

max_pro=max(probability);

error_pct=(max_pro-min_pro)*100/max_pro

OUTPUT:

N =

1000

probability =

Columns 1 through 10

0.0750 0.0920 0.0940 0.1010 0.0810 0.0840 0.1010 0.0910 0.1060 0.0870

Column 11

0.0880

error_pct =

29.2453

N =

10000

probability =

Columns 1 through 10

0.0878 0.0918 0.0891 0.0898 0.0947 0.0905 0.0918 0.0899 0.0876 0.0953

Column 11

0.0917

error_pct =

8.0797

N =

100000

probability =

Columns 1 through 10

0.0911 0.0908 0.0916 0.0908 0.0920 0.0889 0.0908 0.0907 0.0913 0.0926

Column 11

0.0894

error_pct =

3.9317

N =

1000000

probability =

Columns 1 through 10

0.0908 0.0912 0.0913 0.0901 0.0910 0.0912 0.0910 0.0908 0.0910 0.0908

Column 11

0.0909

error_pct =

1.3350

c) Error Decreases as we increase the N value. THis is in accordance with the theory. The ideal values of error percentage for infinite number of sample is 0%.