Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about
of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of
visitors to the website, exactly
actually are looking for the website.

Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

To solve this problem, we need to make use of the **binomial probability formula**. The problem asks for the probability that exactly \( k \) visitors are looking for the website out of \( n \) total visitors, given that the probability \( p \) of any individual visitor being there for the right reason is known.

### Binomial Probability Formula

The probability of exactly \( k \) successes (in this case, visitors looking for the website) in \( n \) trials (visitors) is given by the binomial probability formula:

\[
P(X = k) = \binom{n}{k} \cdot p^k \cdot (1-p)^{n-k}
\]

Where:
- \( P(X = k) \) is the probability of getting exactly \( k \) successes.
- \( \binom{n}{k} \) is the binomial coefficient, which represents the number of ways to choose \( k \) successes out of \( n \) trials. It is calculated as \( \binom{n}{k} = \frac{n!}{k!(n-k)!} \).
- \( p \) is the probability of success on any given trial.
- \( (1-p) \) is the probability of failure on any given trial.

### Steps to Solve:

1. **Identify the given values:**
   - \( n \) = total number of visitors (this should be provided in the problem).
   - \( k \) = number of visitors actually looking for the website (this should be provided in the problem).
   - \( p \) = probability that a visitor is looking for the website.

2. **Substitute the given values into the formula.**

3. **Calculate the result.**

### Assumptions:
- It seems like some specific numbers for \( n \), \( k \), and \( p \) are missing from the problem statement you provided. Please provide those values so I can calculate the probability for you.

Could you provide those numbers so I can complete the solution?

Learn how to calculate the probability of finding a specific number of visitors looking for a website out of a total number of visitors using the binomial probability formula. This problem involves understanding probability concepts and applying the binomial distribution theory.

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