The number of defective items that come out of a production line on any given day is a Poisson random variable with parameter λ=2. At the end of the day, the defective items are reworked. Each defective item can be repaired with probability 0.6 and is discarded with probability 0.4.
- What is the probability that fewer than 3 items are discarded on a given day?
- What is the expected number of items discarded?