A delivery company records whether each parcel arrives late. The probability that any parcel is late is modelled as 0.14, independently of every other parcel. A random sample of 45 parcels is taken, and X X\,X is the number that arrive late.
State two conditions required for X X\,X to have a binomial distribution.
Find P(X=6)P(X = 6)P(X=6).
Find P(5≤X≤9)P(5 \le X \le 9)P(5≤X≤9).