Math Problem Statement
In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 13% of voters are Independent. A survey asked 34 people to identify themselves as Democrat, Republican, or Independent.
A. What is the probability that none of the people are Independent?
Probability =
B. What is the probability that fewer than 4 are Independent?
Probability =
C. What is the probability that more than 2 people are Independent?
Probability =
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
Binomial probability formula: P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Complement rule for probability: P(X > k) = 1 - P(X <= k)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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