3. An electrician records the number of repairs of different types of appliances that he makes each day. His records show that over 40 working days he repaired a total of 180 CD players.
- Explain why a Poisson distribution may be suitable for modelling the number of CD players he repairs each day and find the parameter for this distribution.
- Find the probability that on one particular day he repairs
- no CD players,
- more than 6 CD players.
- Find the probability that over 10 working days he will repair more than 6 CD players on exactly 3 of the days.
(3 marks)