Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.
For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.
<h3>What is the binomial probability distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- About 30% of frozen chickens are contaminated, hence
.
- Chickens are delivered to grocery stores in crates of 24, hence
.
The probability that a certain crate has <u>more than 4 contaminated</u> chickens is:

In which:

Then






Hence

0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.
You can learn more about the binomial distribution at brainly.com/question/24863377