understand the concepts of Bernoulli trials and the concept of a binomial random variable as the number of ‘successes’ in n independent Bernoulli trials, with the same probability of success p in each trial
ACMMM148
identify contexts suitable for modelling by binomial random variables
ACMMM149
determine and use the probabilities P(X=r)=(nr)p^r(1−p)^(n−r) associated with the binomial distribution with parameters n and p; note the mean np and variance np(1−p) of a binomial distribution
