Poisson, Binomial and discrete uniform distribution

how to model binomial distribution

X~B(n,p)

what are n and p in binomial distribution

n-number of trials

p- probability of success

conditions of a binomial distribution

fixed number of trials, only two possible outcomes, fixed probability of success, trials are independent of each other

what is r in the binomial equation given in exam booklet

r=x so P(X=r)

conditions of a Poisson distribution

events occur singly, at random at a given interval, the mean number of occurrences is known and finite

in what case can the Poisson distribution approximate the binomial

if n is large and p is small

what is the symbol for the mean number of occurrences in poisson

lander

a variable is discrete when

it can only take certain numerical values

a variable is random when

the outcome is not known until the experiment is carried out

what is a uniform distribution

when all outcomes have the same probability of occurring