Cicco manufactures baby shirts based on customer orders

Operations Management Nov 17, 2020

Cicco manufactures baby shirts based on customer orders. There are two employees making the shirts. The average production time of a shirt is 3 days with a standard deviation of 1.7 days. The company expects to receive 0.5 customer order per day on average and the inter-order follows exponential distribution. Each order is of one shirt.
What is the expected duration, in days, between when an order is received and when production begins for that order?