Answered: The time required to assemble an…

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 time required to assemble an electronic component is normally distributed, with a mean andstandard deviation of 17 minutes (µ) and 3.2 minutes (σ) respectively.

a) Find the probability that a particular assembly takes between 10 and 20 minutes.

b) The fastest 1% of workers to assemble their component, receive a prize.What is the time to beat, for a worker to receive a prize?

c) The person assembling the components works for 7 hours each day. Find the probability that theywill be able to assemble 25 electric compnents in a normal day. That is, find the probability that thetotal time to assemble 25 components is less than 7 hours.Hint: Find the average number of minutes per component.

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.

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