* 00TRS4A manufacturer knows that their items have a normally distributed length, with a mean of 19.4 inches, andstandard deviation of 1.2 inches.If one item is chosen at random, what is the probability that it is less than 22.5 inches long?> Next QuestionMacBook Pro233.24&097.8O

Given mean (μ ) = 19.4standard deviation (σ) = 1.2 so P (X < 22.5 ) = Px -μσ<22.5 - 19.41.2P (X < 22.5 ) = P ( Z < 2.58 )by standard normal table of Z= 0.9950

Answered: A manufacturer knows that their items…

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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A manufacturer knows that their items have a normally distributed length, with a mean of 19.4 inches, au standard deviation of 1.2 inches. If one item is chosen at random, what is the probability that it is less than 22.5 inches long?