Math Problem Statement
A quiz consists of 21 multiple choice questions, each with 4 answer choices. If a student guesses on each question, what is the probability that he/she will answer at least 7 questions correctly?
Solution
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Math Problem Analysis
Mathematical Concepts
Binomial Distribution
Probability
Formulas
P(X ≥ k) = 1 - P(X ≤ k-1)
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Binomial Cumulative Distribution Function (CDF)
Theorems
Bernoulli Trials
Binomial Theorem
Suitable Grade Level
Grades 10-12
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