In: Statistics and Probability
Company Inc owns a DC in Maryland with disruptions the year due to snowstorms. The number of disruptions follows a Poisson distribution with an average of 8.8 disruptions per year.
1. What is the probability that the number of disruptions next year at this DC is equal to or less than 4?
2. What is the probability of facing no disruptions at this DC during next year?
The time to recover from a disruption follows a uniform distribution with a minimum of 4 and a maximum of 13 days.
3. If a disruption happens, what is the average time the DC will be closed for?
4. If a disruption happens, what is the probability that the DC will be closed for more than 7 days?