Ann is the owner of Pizzas R Us, a small company that delivers pizza from two different locations. The Mayfair site handles 40% of the total orders while the Claymont location delivers the remaining orders. In its promotional materials, Pizzas R Us strives to deliver all orders within 45 minutes. Historically, the Claymont location has experienced 5% of its orders taking longer than 45 minutes to deliver. The Mayfair store has been late on 15% of its orders. Ann has just spoken to a customer whose order was delivered 1 hour after it was placed but did not remember which location the order originated. What is the probability that the late order came from the Mayfair store?
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