Math Problem Statement

R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world. If a random sample of 5 Americans is selected, find these probabilities. a) Exactly 2 people will agree with that statement. b) At most 3 people will agree with that statement. c) At least 2 people will agree with that statement. d) Fewer than 3 people will agree with that statement.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

Binomial probability formula: P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
Complement Rule: P(X ≥ k) = 1 - P(X < k)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 11-12 (or early college)