The finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a standard deviation of 0.03 centimeter.a) What proportion of rings will have inside diameters exceeding 10.075 centimeters?b) What is the probability that a piston ring will have an inside diameter between 9.97 and 10.03 centimeters?c) Below what value of inside diameter will 15% of the piston rings fall?d) If in a couple of years, the mean and the standard deviation of the finished inside diameter of a piston ring change both to different values \( \mu \) and \( \sigma \), what proportion of rings will have inside diameters exceeding \( \mu + 2.5\sigma \)?

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Answered: The finished inside diameter of a…

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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The distribution of weights for 12-month-old baby boys in the US is approximately normal with mean u = 22.5 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old boy weighs 20.3 pounds, approximately what weight percentile is he in? b) If a 12-month-old boy is in the 84th percentile in weight, estimate his weight. c) Estimate the weight of a 12-month-old boy who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old boy who is in the 75th percentile by weight.
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