SOLUTION: Bank customers arrive randomly on weekday afternoons at an average of 3.2 customers every 4 minutes. Required: What is the probability of having more than 7 customers in a 4-minu

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Question 1186997: Bank customers arrive randomly on weekday afternoons at an average of 3.2 customers every 4 minutes.
Required:
What is the probability of having more than 7 customers in a 4-minute interval on a weekday afternoon?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
this is a Poisson distribution with number proportional to time, no upper bound.
the probability for 8 is e^(-3.2)*3.2^8/8=0.0111
for 9 it is e^(-3.2)*3.2^9/9!=0.0039
for 10 it iii 0.0013
for 11 it is 0.0004
on the calculator, use 1-poisssoncdf(3.2, 7) ENTER. The 1- tells the calculator you want everything to the right, not left, and the arguments are the Poisson parameter and the last value you don't want to count, in this case 7.
=0.0168