Math Problem Statement

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of mu equals 1.1 kg and a standard deviation of sigma equals 4.6 kg. Complete parts​ (a) through​ (c) below.

a. If 1 male college student is randomly​ selected, find the probability that he gains between 0 kg and 3 kg during freshman year.

The probability is

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics
Normal Distribution

Formulas

Z-score formula: z = (x - μ) / σ

Theorems

Standard Normal Distribution

Suitable Grade Level

College level (introductory statistics or probability courses)