Math Problem Statement
Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty? (Round your answer to three decimal places.)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
Binomial coefficient: (n choose k) = n! / (k!(n - k)!)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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