Math Problem Statement
Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% 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 5 visitors to the website, exactly 4 actually are looking for the website. Round your response to at least three decimal places.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
P(X = k) = C(n, k) * (p^k) * (1-p)^(n-k)
C(n, k) = n! / (k!(n-k)!)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 11-12
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