A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 8 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly one insect will survive?

19.77% probability that exactly one insect will survive

Step-by-step explanation:

For each insect, there are only two possible outcomes. Either they survive, or they do not. The probability of an insect surviving is independent of other insects. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

A certain insecticide kills 70% of all insects in laboratory experiments

So 100 - 70 = 30% survive, which means that

A sample of 8 insects is exposed to the insecticide in a particular experiment.

This means that

What is the probability that exactly one insect will survive?

This is P(X = 1).

19.77% probability that exactly one insect will survive

more detail

step-by-step explanation:

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !