The number of cars caught speeding per day, by a particular camera, has a Poisson distribution with mean 0.8
Find the probability that in a given 4 day period exactly 3 cars will be caught speeding by this camera.
A car has been caught speeding by this camera.
Find the probability that the period of time that elapses before the next car is caught speeding by this camera is less than 48 hours.
Given that 4 cars were caught speeding by this camera in a two day period,
find the probability that 1 was caught on the first day and 3 were caught on the second day.
Each car that is caught speeding by this camera is fined £60
Using a suitable approximation, find the probability that, in 90 days, the total amount of fines issued will be more than \(\pounds 5000\)