- Two car hire companies hire cars independently of each other.
Car Hire A hires cars at a rate of 2.6 cars per hour.
Car Hire B hires cars at a rate of 1.2 cars per hour.
- In a 1 hour period, find the probability that each company hires exactly 2 cars.
- In a 1 hour period, find the probability that the total number of cars hired by the two companies is 3
- In a 2 hour period, find the probability that the total number of cars hired by the two companies is less than 9
On average, 1 in 250 new cars produced at a factory has a defect.
In a random sample of 600 new cars produced at the factory, - find the mean of the number of cars with a defect,
- find the variance of the number of cars with a defect.
- Use a Poisson approximation to find the probability that no more than 4 of the cars in the sample have a defect.
- Give a reason to support the use of a Poisson approximation.
\section*{Q uestion 3 continued}