Answered: Resistors of a certain type have…

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

Resistors of a certain type have resistances that are approximately normally distributed with a mean of 200 ohms. Fifteen of these resistors are to be used in a circuit. The standard deviation of 12 measurements is 10 ohms.

a. find the probability that the average resistance of the 15 resistors is between 199 and 202 ohms.

b. Find the probability that the total resistance of the 15 resistors does not exceed 5,100 ohms.

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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