Math Problem Statement
Let X represent a binomial random variable with n = 180 and p = 0.23. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Binomial Distribution
Random Variables
Formulas
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Binomial Coefficient: (n choose k) = n! / (k!(n-k)!)
Theorems
Binomial Theorem
Law of Large Numbers
Suitable Grade Level
Undergraduate Level, Advanced High School
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