A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of $8$ customers per hour and an average service rate of $13$ customers per hour. What is the probability that a customer waits $4$ minutes or more in the line?

Question $5$Answer

a$.$

$0\mathrm{.}6154$

b$.$

$0\mathrm{.}3846$

c$.$

$0\mathrm{.}5591$

d$.$

$0\mathrm{.}4409$