Poisson distribution with an average of 7.7 patients every 30 minutes. What is the probability that there are exactly 13 patients entering the room in the next 60 minutes?

Question

answer has to be round to 4 decimal places it is a probability equation

Answer 1

7.7 patients in 30 minutes is 7.7*2=15.4 patients per hour (60 minutes). Let µ=15.4, then we can write e^-µ*µ^x/x! is the probability of x patients in an hour. So Po(15.4;13)=e^-15.4 * 15.4^13/13! = 0.0902 or 9.02%.