June 19 , 2012 - Lesson on Binomial Distribution

       Everyday subjects like that of the Advance Statistics, give me a lot of things to worry. One thing is about the assignment-will my assignment be able to have a passing score? Next is about the lesson if I am going to  be able to absorb it well or if it will be another time wasted because of  nothing learned due to my very slow mind. And to worry if I can get out of the room with my correct passport (thanks for my other classmates for helping me got the correct answer) :). Stat is a good subject if  you are good at it,  especially if you are great in understanding word problems,  memorizing formulas, and  being good in solving through your calculator.
  
     Well , for Tuesday (June 19, 2012) our lesson is all about  Binomial Distribution. I learned that a binomial experiment is a probability experiment that satisfies 4 requirements (trials that have two outcomes or outcomes that can be reduced to two outcomes;  there must  be a fixed number of trials; the outcomes of each trial must be  independent of each other and the probability of success must remain the same for each trial).
 
       I also had recalled the Binomial Probability Formula:

 P(x ) =          n!              . p^x.q^{n - x}        
                 ( n-X )!  X!              

 We also have learned about Mean, Variance and Standard deviation for Binomial Distribution; and the Multinomial Distribution, and the following are the formulas:

  Mean            
                   μ = n   x   p
  ^Variance           

                   σ²= n*p*q        

  Standard Deviation               

                   σ= square root of n*p *q      

  

   Multinomial Distribution 

                           P = [ n! / ( x₁! *  x₂! * ... x_n! ) ] * ( p₁^x₁ * p₂^x₂ * . . . * p_k^x_k )

          

       

     It is an achievement for my day if I had learned much in school especially to subjects that I am weak, like Advance Statistics.


 by: Kent Spencer  Manalo Mendez