Math Problem Statement

Thirty​-nine percent of U.S. adults have very little confidence in newspapers. You randomly select eleven U.S. adults. Find the probability that the number who have very little confidence in newspapers is​ (a) exactly seven and​ (b) exactly three. Question content area bottom Part 1 ​(a) The probability that the number who have very little confidence in newspapers is exactly seven is

enter your response here. ​(Round to three decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics
Binomial Distribution

Formulas

Binomial probability formula: P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
Binomial coefficient: (n choose k) = n! / (k! * (n - k)!)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12