Accidents occur with a Poisson distribution at an average of 4 per week. i.e., $\lambda= 4$.

1. Calculate the probability of more than 5 accidents in any one week.

2. What is the probability that at least two weeks will elapse between accident?


Query: Is is necessary to be clear that Part 2 is based on exponential distribution or time is exponentially distributed or something like this?

Note: The question is based on integrating knowledge of the Poisson and exponential distributions.