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"The efficacy of insecticides is often measured by the dose necessary to kill a certain percentage of insects. Suppose a certain does of a new insecticide is supposed to kill 80% of the insects that receive it. To test the claim, 25 insects are expose to the insecticide.

a. If the insecticide really kills 80% of the exposed insects, what is the probability that fewer than 15 die?

b. If you observed such a result, what would you conclude about the new insecticide? Explain your logic"

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