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

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.