Lesson Solving problems on Binomial distribution with Technology (using online solver)

Solving problems on Binomial distribution with Technology (using online solver)

Problem 1

    a) all of them dislike their mother-in law? 

    b) none of them dislike their mother-in law? 

    c) at least four of them dislike their mother-in law? 

    d) no more than three of them dislike their mother-in law?  

It is a binomial distribution probability problem.


To facilitate my calculations, I will use an appropriate online (free of charge) calculator 
at this web-site 

https://stattrek.com/online-calculator/binomial.aspx


It provides a convenient input (and output) for all relevant options/cases.


(a)  all of them dislike their mother-in law?

         - number of trials        n = 6;
         - number of success trial k = 6;
         - Probability of success on a single trial p = 0.9.

           P(n=6; k=6; p=0.9) = 0.531441.      ANSWER


b)  none of them dislike their mother-in law?

         - number of trials        n = 6;
         - number of success trial k = 0;
         - Probability of success on a single trial p = 0.9.

           P(n=6; k=0; p=0.9) = 0.000001.     ANSWER


c)  at least four of them dislike their mother-in law?

         - number of trials        n = 6;
         - number of success trial k >= 4;
         - Probability of success on a single trial p = 0.9.

           P(n=6; k>=4; p=0.9) = 0.98415.     ANSWER


d) no more than three of them dislike their mother-in law?

         - number of trials        n = 6;
         - number of success trial k <= 3;
         - Probability of success on a single trial p = 0.9.

           P(n=6; k<=3; p=0.9) = 0.01585.     ANSWER