How to perform Matlab programming for the biased coin toss simulation

Thread Starter

vokoyo

Joined Apr 21, 2018
4
Let the bias be the probability of turning up a head and denoted by the parameter q.

If we use a coin with the bias specified by q to conduct a coin flipping process d times, the outcome will be a sequence of heads and tails.

Then the probability - where nH is the number of heads turned up during d trials.

Now using such a simulated coin with q = ½ to conduct the experiments based on a sequence of outcomes generated by the random generator from computer.

For example, if the number generated by the random generator is less than 1/2, it assigned to be 0; otherwise, it will be assigned 1.

I would like to perform the Matlab programming with certain parameters for the Pattern Recognition (such as Binomial Distribution) as below -

(1) d = 100 and n =100 using a simulated coin with q = ¼ and ½.

(2) d = 10 and n =1000 using a simulated coin with q = ¼ and ½.

(3) d = 100 and n = 1000 using a simulated coin with q = ¼ and ½.

Kindly please provide your opinion and suggestion thus I will be able to improve my computing skills.

(The result of the execution from program will be drawn into histogram on the PowerPoint)
 

Attachments

Thread Starter

vokoyo

Joined Apr 21, 2018
4


Matlab Programming Method -
I get some errors for my coding sample as below


(1)

x = rand(0,1);

if(x<0.25),

toss = 0; %Head

else

toss = 1; %Tail

end

n = 100;

d = 100;

hist(y,0:n)



x = rand(0,1);

if(x<0.5),

toss = 0; %Head

else

toss = 1; %Tail

end

n = 100;

d = 100;

hist(y,0:n)
 
Top