Answered: part of an X-ray imaging machine…

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 lifespan of an X-ray tube used as part of an X-ray imaging machine follows a normal distribution with a mean of 6.75 years and a standard deviation of 1.6 years.

a. Calculate the probability that a randomly-selected X-ray tube will have a lifespan of:

(i) Less than 5 years
P(X < 5)=P(X < 5)=

(ii) Greater than 9 years
P(X > 9)=P(X > 9)=

(iii) Between 6 and 8 years
P(6 < X < 8)=P(6 < X < 8)=

b. What length warranty should be established on the X-ray tube so that no more than 3.0% of the units will need to be replaced under warranty?

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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