"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"