Fill in the following table with the general formulas for th

Fill in the following table with the general formulas for the common discrete distributions:

Discrete Distribution

Binomial

Poisson

pmf

E(X)

V(X)

Solution

Binomial Distribution

PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where   
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial

Mean = np
Variance = npq

Possion Distribution
PMF of P.D is = f ( k ) = e- x / x!
Where   
= parameter of the distribution.
x = is the number of independent trials

Mean = Variance =