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
ACMMM166
recognise the expected value, variance and standard deviation of a continuous random variable and evaluate them in simple cases
ACMMM167
understand the effects of linear changes of scale and origin on the mean and the standard deviation
