Math Problem Statement

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 230.3 cm and a standard deviation of 0.9 cm.

Find the probability that the length of a randomly selected steel rod is greater than 230 cm. Enter the probability as a decimal rounded to 4 decimal places.

P(X>230cm)=  

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics
Normal Distribution
Z-score

Formulas

Z-score formula: z = (X - μ) / σ
Probability calculation using the standard normal distribution

Theorems

Properties of the Standard Normal Distribution

Suitable Grade Level

Grades 10-12