1 The number of cars, \(X\), passing along a road each minute can be modelled by a Poisson distribution with a mean of 2.6.
- Calculate \(\mathrm { P } ( X = 2 )\).
- Write down the distribution of \(Y\), the number of cars passing along this road in a 5-minute interval.
- Hence calculate the probability that at least 15 cars pass along this road in each of four successive 5 -minute intervals.