A production process for steel rods used to reinforce concrete is known to produce rods whose lengths have a variance of 64 cm. The production machinery has been set to produce rods with a mean of (600 centimeters, cm), in length. These rods are tied into bundles of 40 for shipment to construction sites.
What is the probability that the average length of a randomly selected bundle is less than 598 cm?
What is the probability that the average length of a randomly selected bundle is more than 601 cm but less than 603 cm?
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