For this assignment you will plot the probability mass function and the cumula- tive distribution function of the binomial distribution an geometric distribution

Instructions

• For assignment 2 we generated the pmf of the Binomial Distribution (recall: f(x) = (n choose x)( p^(x) ) *  (1 - p) (n - x) for x = 0; 1; 2; : : : ; 10, [in Matlab terms: f(x) = nchoosek( n, x ) * p^x * (1-p)^(n-x) ]).

• For this assignment you will plot the probability mass function and the cumula-tive distribution function of the binomial distribution for p = 0:15; 0:33; 0:5; 0:66; 0:85 and n = 10. How does the shape change as a function of p?

• The pmf of the Geometric Distribution is given as : f(x) = ((1- p)^(x-1 ))p [in Matlab: (1-p)^(x-1) * p], for x = 1; 2; : : :. Plot the probability mass function and the cumulative distribution function of a geometric distribution with p = 0:15; 0:33; 0:5; 0:66; 0:85 for x = 1; 2; : : : ; 15. How does the shape change as a function of p?

 Binomial Distribution

• Binomial Probability Cumulative Distribution

1p =0.15

2p = 0.33

3p = 0.5

4p = 0.66

5p = 0.85

• Binomial Probability Mass Function

1p = 0.15

2p =0.33

3p = 0.5

4p =0.66

  

Geometric Distribution 

• Probability Cumulative function 
  
  
  
  
  
  
  
  
  
  
  
  
   
  
  
  • Probability Mass Function