Math Problem Statement
Below n is the sample size, p is the population proportion of successes, and X is the number of successes in the sample. Use the normal approximation and the cumulative normal distribution table to find the probability. Round to four decimal places. n = 85, p= 0.48. P(X> 32)=
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Normal Approximation
Binomial Distribution
Formulas
Mean of binomial distribution: μ = n * p
Standard deviation of binomial distribution: σ = √(n * p * (1 - p))
Z-score formula: Z = (X - μ) / σ
Theorems
Central Limit Theorem
Continuity Correction
Suitable Grade Level
Grades 11-12 / College Level
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