The efficacy of insecticides is often measured by the dose n

The efficacy of insecticides is often measured by the dose necessary to kill a certain percentage of insects. Suppose a certain dose of a new insecticide advertises that it only allows 10% of the insects that receive it to live. To test the efficacy of this new insecticide, you conduct an experiment in which 35 randomly selected insects are exposed to it. You are interested in the number of insects killed using the insecticide.

Identify the random variable and its distribution

Solution

Let X be the number of insects killed using the insecticide

X follow binomial distribution with n=35 and p=0.1