Two computer specialists are completing work orders. The first specialist receives 60% of
all orders. Each order takes her Exponential amount of time with parameter λ1 = 3 hrs−1
.
The second specialist receives the remaining 40% of orders. Each order takes him Exponential amount of time with parameter λ2 = 2 hrs−1
.
A certain order was submitted 30 minutes ago, and it is still not ready. What is the probability that the first specialist is working on it?