Question: A building contractor has decided to purchase a load of factory-reject aluminum siding as long as the average number of flaws per piece of siding

A building contractor has decided to purchase a load of factory-reject aluminum siding as long as the average number of flaws per piece of siding in a sample of size 35 from the factory's reject pile is 2.1 or less. If it is known that the number of flaws per piece of siding in the factory's reject pile has a Poisson probability with a mean of 2.5, find the approximate probability that the contractor will not purchase a load of siding.

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