Math Problem Statement

A quiz consists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.

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

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Cumulative probability P(X ≥ 14) = P(X = 14) + P(X = 15) + ... + P(X = 20)

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12