Math Problem Statement
A city's emergency response system is being tested for efficiency. There is an 85% chance that any given emergency call is responded to within the target time. Suppose 200 emergency calls are placed in a week. If the system is tested weekly for 10 weeks, what is the probability that in at least 8 weeks, 95% or more of the calls are responded to within the target time?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Binomial Distribution
Formulas
Binomial probability formula
Theorems
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Suitable Grade Level
Advanced High School
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