A certain insecticide kills 80%

of all insects in laboratory experiments. A sample of 12
insects is exposed to the insecticide in a particular experiment. What is the probability that every insect will die? Round your answer to four decimal places.

1 answer

To find the probability that all 12 insects will die, we can calculate the probability of one insect dying and then raise it to the power of 12 since each insect's death is independent of the others.

The probability of one insect dying is 80%, which can be expressed as 0.80.

Therefore, the probability that all 12 insects will die is:
0.80^12 = 0.0687

So, the probability that every insect will die is 0.0687 (rounded to four decimal places).