Math Problem Statement

Suppose “Heights of USC Students” follows an approximate normal distribution with mean 66 inches and standard deviation 3.5 inches. What proportion of USC students falls below 63 inches? What proportion of students are taller than 71 inches? Show calculated z-scores.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Z-scores

Formulas

Z = (X - μ) / σ
Proportion for a given Z-score (using standard normal distribution table)

Theorems

Empirical Rule (68-95-99.7 Rule)
Standard Normal Distribution

Suitable Grade Level

Grades 10-12 (High School) or Introductory College Level