In World War II, the number of V2 missiles that landed on each square mile of London was, on average, \(3 \cdot 5\). Assuming that the hits were randomly distributed throughout London,
suggest a suitable model for the number of hits on each square mile, giving a suitable value for any parameters.
calculate the probability that a particular square mile received
no hits,
more than 7 hits.
State, with a reason, whether the model is likely to be accurate.
In contrast, the number of bombs weighing more than 1 ton landing on each square mile was 45 .
Use a suitable approximation to find the probability that a randomly selected square mile received more than 60 such bombs. Explain what adjustment must be made when using this approximation.