Math Problem Statement

53% of all Americans are home owners. Round your answers to four decimal places. If 33 Americans are randomly selected, find the probability that

a. Exactly 16 of them are are home owners. b. At most 19 of them are are home owners. c. At least 15 of them are home owners. d. Between 15 and 20 (including 15 and 20) of them are home owners.

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) = (nCk) * p^k * (1-p)^(n-k)
Cumulative Binomial Probability for 'at most' and 'at least' scenarios

Theorems

Law of Large Numbers
Binomial Theorem

Suitable Grade Level

Grades 10-12