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 clear that Part 2 is based on exponential distribution or time is exponentially distributed or something like this.

Note: Question is based on integrating knowledge of Poisson and Exponential distribution.

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.