Math Problem Statement

A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters were randomly selected from the population of all eligible voters.

Find the probability that more than 11 of the eligible voters sampled will vote in the next presidential election.

.772

.228

.608

.113

.887

Solution

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Math Problem Analysis

Mathematical Concepts

Binomial Distribution
Probability

Formulas

P(X > k) = 1 - P(X ≤ k) where X is binomially distributed
P(X = k) = (n choose k) * p^k * (1 - p)^(n-k)

Theorems

Binomial Probability Theorem

Suitable Grade Level

College-Level Statistics