Math Problem Statement
Consider a binmial experiment with n=20 and p=0.70. compute f(12). compute f(16). compute P(x is greater then or equal to 16). compute P(x is less then or equal to 15). compute E(x). compute Var (x)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Expected Value
Variance
Cumulative Probability
Formulas
f(x) = P(X = x) = \binom{n}{x} p^x (1 - p)^{n - x}
E(X) = n * p
Var(X) = n * p * (1 - p)
P(X ≥ x) = Σ P(X = x)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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