SOLUTION: A grocery store counts the number of customers who arrive during an hour. The average over a year is 29 customers per hour. Assume the arrival of customers follows a Poisson distri

Question 1166571: A grocery store counts the number of customers who arrive during an hour. The average over a year is 29 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.)
Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals.

Find the probability that at least two customers arrive in a particular 5 minute period. Round your answer to four decimals.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
it is proportional to time so expect 29/60 in a minute
find the probability that 0 will come in that time and subtract from 1.
p(0)=e^(-29/60)=0.6167
so p(1 or more) is the complement or 0.3833 or 0.383..

in 5 minutes expect 29/12
so look for p(0) and p(1), add and subtract from 1
p(0)=e^(-29/12)=0.0892
p(1)=e^(-29/12)*29/12^1/1=0.2156
Those add to 0.3048
subtract from 1 and get 0.6952.
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