2 On a car assembly line, a robot is used for a particular task.
- State the conditions under which a Poisson distribution is an appropriate model for the number of breakdowns of the robot in a week.
It is given that the average number of breakdowns of the robot in a week is 1.7 . For the remainder of this question, you should assume that a Poisson distribution is an appropriate model for the number of breakdowns of the robot in a week.
- Find the probability that the number of breakdowns of the robot in a week is exactly 4.
- Determine the probability that the number of breakdowns of the robot in a week is at least 2 .
- Determine the probability that the number of breakdowns of the robot in 52 weeks is less than 100.