Solution Library

Application of MATLAB in Probability and Statistics

Question

Let X be a discrete random variable. For each of the following cases when

 

  • X is a Binomial distribution, X ~ Bin(n, p), n = 100; p = 0.5;
  • X is a Geometric distribution, X~ Geo(p), p = 0.5,

 

You have to compute the TRUE and EMPIRICAL values for the mean and variance of X. For the true values, you can calculate them manually or you can first generate such a distribution with the specific parameters and then use the functions provided by the MATLAB to compute its mean and variance. For the empirical values, you first randomly generate N samples from such a distribution, and then use the mean and var functions to compute the empirical mean and variance on those samples, respectively. You have to repeat this process for 10 times and obtain the average value of the computed empirical mean and variance over the 10 repeats. Please experimented with

N = [5; 10; 50; 100; 500; 1000; 5000] and then plot a 2D figure, where x-axis denotes N and the y-axis denotes the empirical values for mean or variance. Finally, you have to add a line of the true values for the mean or variance. Please use different colors for the true and empirical values. For each case, you have to submit

1. MATLAB codes, which should be put in script _les (.m);

2. Two figures, which should be in eps format (.eps). One is for the empirical and true mean values and the other is for the empirical and true variance values.

 

Summary

This question belongs to MATLAB software and discusses about application of MATLAB to probability and statistics and to compute the true and empirical values of mean and variance of a random variable.

 

 

 

Title: Compute TRUE and EMPIRICAL values for the mean and variance of a Variable Using MATLAB

Download Full Solution

Comments

  • HWA
    Rasha

    this is a very good website

  • HWA
    maani

    I have 50 questions for the same test your page is showing only 28

  • HWA
    joeanne

    hi can you please help or guide me to answer my assignments. thanks

  • HWA
    joeanne

    hi can anyone help or guide me to my assignments. thanks

  • HWA
    Monik


  • HWA
    Cristina

    This solution is perfect ...thanks

  • HWA
    Janete

    Hello Allison,I love the 2nd image that you did! I also, had never heard of SumoPaint, is something that I will have to exolpre a bit! I understand completely the 52 (or so) youtube videos that you probably watched. Sometimes they have what you want, sometimes they don't! However, it is always satisfying when you are able to produce something that you have taught yourself. Great job!Debra 0 likes

  • HWA
    Sandeep

    Perfect bank of solution. 

  • HWA
    Oxana

    great !

  • HWA
    Paul Brandon-Fritzius

    thanks for the quick response. the solution looks good. :)

  • HWA
    tina Johnson

    thnx for the answer. it was perfect. just the way i wanted it. 

  • HWA
    Giuseppe

    works fine.