Trying to figure out what the probability is that in a room of 200 people what the probability that at least one will get a phone call during a certain time window... In this case 2 hours
- Average person gets 5 calls a day (distributed randomly over 16 hours).
- Those calls happen during a 16 hour time window.
- Movie length = 2 hours (120 minutes)
If there was only one person in the room, it's pretty easy to calculate...
If caller only got 1 call a day, the chances of it happening while in the movie would be 1/(16/2) = 1/8.
= 5 calls/day * 1/8 = 5/8
But, now how do I then apply this if there is 200 people in the room. I think I need to do some type of binomial coefficient?
Real Life Application My actual application is to determine what the likelyhood of someone getting a call is during a 5 minute presentation at a conference. But, thought the movie example was more universal.