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The size of cakes from The Great British Baking Show have an average weight of 3 pounds with a standard deviation of 0.5 pounds (lb).

The size of cakes from The Great British Baking Show have an average weight of 3 pounds with a standard deviation of 0.5 pounds (lb). The size of slices from cakes have an average weight of 0.5 pounds with a standard deviation of 0.15 pounds (lb).

Let X be the weight of a cake after three slices have been removed from it. Calculate the average for X rounding to three decimal places.

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