Question

USING MATLAB

Write a MATLAB function that simulates a single roll of a n-sided die.

The inputsand outputs of the function are:

Inputs:

•The probabilities for each side, given as a vector p = [p1,p2...pn]

Outputs:

•The number onthe face of the die after a single roll, i.e.onenumber fromthe setof integers

{1, 2 ,....n}

Note: The sum p1+p2+.....pn must be equal to 1.0, otherwise the probability values are incorrect.

Savethe function as: nsided_die(p)

Test the functionwitha 5-sided die,where the probabilities are given by the vector p=[0.10, 0.25, 0.30, 0.15, 0.20]

Test the functionwitha 5-sided die,where theprobabilities are given by the vector p=[0.10, 0.25, 0.30, 0.15, 0.20]

To test the function, roll the die for N=10,000times and plot the outcome as a stem plot.

Please explain each line

Thank you

Answer 1

10000 times!!!!!!! nothing will be visible if we plot for this many larg times..so I limited the code to 100 time instead of 10000 times...still if you want result for 10000 times then simply change 100 to 10000 in the code.....

code:::

clc;
close all;
clear all;
n=input('how many sided is youu die is');
disp('enter the probabilities of each side')
for i=1:n
p(i)=input('');
num(i)=p(i)*100;
end
l=[];
a=cumsum(p);
if a(n)==1
for i=1:n;
m=i*ones(1,num(i));
l=[l m];
end
for i=1:100
x=randsample(1:length(l),1);
stem(i,l(x),'*');
hold on
end
else
disp('probability values are incorrect');
end

corresponding plot::::