Question 765567
Suppose the # of buses arriving at a campus has a Poisson probability distribution. Also,assume that the average # of arrivals per hr is 7.
A.) find the probablity of 5 arrivals in 1 hour?
P(X=5) = {{{(e^(-7))(7^5)/5!}}} = {{{highlight(0.1277)}}}
B.)find the probablity of 12 or more arrivals in an hour?
P(X≥12) = {{{1 - sum((e^(-7))(7^x)/x!, x=0,11)}}} = {{{highlight(0.0533496)}}}
C.)find the probablity of more than 3 arrivals in 30minutes?
The average # of arrivals per 30 minutes is 3.5.
P(X > 3) = {{{1 - sum((e^(-3.5))(3.5^x)/x!, x=0,3)}}} = {{{highlight(0.46337)}}}