Question: 2. An online retailer receives orders, which it processes from a single warehouse. The time required for an order to be prepared for shipment is

2. An online retailer receives orders, which it processes from a single warehouse. The time required for an order to be prepared for shipment is random, and is known to be normally distributed with mean 200 minutes and standard deviation 40 minutes. (a) What is the probability that the shipment preparation for a random order requires fewer than 150 minutes? (b) What is the probability that the shipment preparation for a random order requires more than two hours? (c) What is the probability that the shipment preparation for a random order requires between 150 minutes and 300 minutes? (d) Find the value Tsuch that exactly 99% of all orders are prepared for shipment within Tminutes.

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