Two computer specialists are completing word orders. The first specialist receives 60% of all orders. Each order takes her Exponential amount of time with parameter $$\lambda1$$ = 3 hrs. The second specialist receives the remaining 40% of orders. Each order takes him Exponential amount of time with parameters $$\lambda2$$ = 2 hrs.

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?

Question

Two computer specialists are completing word orders. The first specialist receives 60% of all orders. Each order takes her Exponential amount of time with parameter $$\lambda1$$ = 3 hrs. The second specialist receives the remaining 40% of orders. Each order takes him Exponential amount of time with parameters $$\lambda2$$ = 2 hrs.

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?