A particular product is shipped from a factory to different retailers in the order that orders were received. Store G is in line to receive a shipment behind six other stores. It has been determined that the amount of time in hours it takes for an order to be shipped out of the factory to any one retailer is a random variable following a geometric distribution with parameter p=1/20. How long should Store G expect to wait until their shipment is sent.?

• You have been notified by Store A (the first retailer in the queue) that the factory has been working on their order for 48 hours now. How does this change your estimate for part (a)?
• How long do you expect to wait until your order is done being processed (including the time spent waiting for the first six stores to have their orders processed)?
• What is the standard deviation of the time until your order is finished? Express it in hours, and also, express it as a percent of the mean.