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
Statistical Analysis

Formulas

Binomial Probability Formula

Theorems

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Suitable Grade Level

Advanced High School