Math Problem Statement
In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters are Independent. A survey asked 40 people to identify themselves as Democrat, Republican, or Independent.
A. What is the probability that none of the people are Independent?
Probability = 0.0037
B. What is the probability that fewer than 5 are Independent?
Probability = 0.923
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
Statistics
Formulas
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
P(X > 2) = 1 - P(X <= 2)
Theorems
Binomial Theorem
Law of Complement
Suitable Grade Level
Grades 10-12
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