- During morning hours, employees arrive randomly at an office drinks dispenser at a rate of 2 every 10 minutes.
The number of employees arriving at the drinks dispenser is assumed to follow a Poisson distribution.
- Find the probability that fewer than 5 employees arrive at the drinks dispenser during a 10-minute period one morning.
During a 30 -minute period one morning, the probability that \(n\) employees arrive at the drinks dispenser is the same as the probability that \(n + 1\) employees arrive at the drinks dispenser.
- Find the value of \(n\)
During a 45-minute period one morning, the probability that between \(c\) and 12, inclusive, employees arrive at the drinks dispenser is 0.8546
- Find the value of \(C\)
- Find the probability that exactly 2 employees arrive at the drinks dispenser in exactly 4 of the 6 non-overlapping 10-minute intervals between 10 am and 11am one morning.