Answered: A company produces steel rods. The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.9-cm and a standard deviation of 0.7-cm.

Find P₉₈, which is the length separating the shortest 98% rods from the longest 2%.
P₉₈ = -cm

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1: Given information

Normal distribution

$P o p u l a t i o n space m e a n space colon space mu space equals space 222.9 space c m P o p u l a t i o n space s tan d a r d space d e v i a t i o n space colon space sigma space equals space 0.7 space c m F i n d space v a l u e space o f space P subscript 98 space equals space ? space$