Math Problem Statement

Using the binomial​ distribution, find and interpret the probability that more than 15 of those surveyed feel the state of morals is poor.

Solution

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Math Problem Analysis

Mathematical Concepts

Binomial Distribution
Probability Theory
Complement Rule

Formulas

P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
P(X > 15) = 1 - P(X \leq 15)

Theorems

Binomial Theorem
Complement Rule

Suitable Grade Level

Grades 10-12