Question: A seed wholesaler tests his tomato seed and calculates their germination rate to be 20 per package of 25 with a standard deviation of 2 (under optimum conditions). He offers a money-back guarantee if less than 15 of his seed germinate (due to non-optimum conditions). Consider a package of 25 tomato seeds, ignoring the difference between optimum and non-optimum conditions, and answer the following questions:

1. If the wholesaler sells 2,872,115 packages of tomato seed, how many packages should he have to replace?
2. If he wishes to replace less than \(2 \%\) of the seed packages under his money-back guarantee, at what germination rate should he advertise his money-back offer?
3. Due to competition, he feels he must offer a better warranty than his competitor who replaces \(10 \%\) of his tomato seed. If he were to replace about \(18 \%\) under warranty, what would his germination rate (number of sprouting plants) be per pack of 25 tomato seed?

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