Math Problem Statement

Ten percent of the population is left-handed. Approximate the probability that the number of students in INDENG 241 who are left-handed is between 21 and 23 (inclusive). There are currently 219 students enrolled in the course. State your assumptions.

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
Normal Approximation
Continuity Correction

Formulas

P(X = k) = (n choose k) p^k (1 - p)^(n - k)
Mean: μ = np
Standard deviation: σ = sqrt(np(1 - p))
Z = (X - μ) / σ

Theorems

Central Limit Theorem
Normal Approximation to Binomial Distribution

Suitable Grade Level

Undergraduate