(Solved): City-to-city buses services which arrive late at Park Station on a typical week can be modelled by ...

City-to-city buses services which arrive late at Park Station on a typical week can be modelled by a Poisson distribution with mean of 4.5 . (a) Determine the probability that on a given week there will be (i) four late arrivals. (ii) less than four late arrivals. (iii) at least seven late arrivals. (b) Determine the probability that in a given two-week period there will be between eight and thirteen (inclusive) late arrivals.