An automated machine in a manufacturing process is operating properly if the length of an importantcomponent is normally distributed, with u = 117 cm and o = 5.2 cm. Show your work for the followingquestions.(i). Find the probability that one randomly selected unit has a length greater than 120 cm. Keep two decimalplaces. (The answer would be 0.28. You can use the answer for the following questions even though If youcannot figure out how to get it.)(ii). Suppose four units are randomly selected. What is the probability that no more than one unit has a lengthgreater than 120 cm?(iii). Suppose one hundred units are randomly selected. What is the probability that at least twenty unitshave lengths greater than 120 cm? Use normal approximation for binomial distributions to answer thisquestion. Keep four decimal places. Check if the requirements for normal approximation are met before youdo any calculations. The exact value calculated from the binomial distribution is 0.9741. Is your answer fromthe normal approximation close?

Answered: Image /qna-images/answer/ce3573a1-3747-48d2-9ad6-d5c97f9ae870.jpg

Answered: (i). Find the probability that one…

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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(i). Find the probability that one randomly selected unit has a length greater than 120 cm. Keep two decimal places. (The answer would be 0.28. You can use the answer for the following questions even though If you cannot figure out how to get it.)