2 A class investigated the number of dead rabbits found along a particular stretch of road.
- The class agrees that dead rabbits occur randomly along the road. Explain what this statement means.
- State, in this context, an assumption needed for the number of dead rabbits in a fixed length of road to be modelled by a Poisson distribution, and explain what your statement means.
Assume now that the number of dead rabbits in a fixed length of road can be well modelled by a Poisson distribution with mean 1 per 600 m of road.
- Use an appropriate formula, showing your working, to find the probability that in a road of length 1650 m there are exactly 3 dead rabbits.