a) If we take 100 random components, how many of them are expected to “live" 7.5 years or more? (round up to the next integer) b) What is the probability that in a random sample of 100 components, 10 or more will live at least 7.5 years? c) Suppose you were a vendor of such components. You want to provide a guarantee to your customers than any component that breaks down within the coverage period will be replaced without charge. If you want to replace only 3% of your components, how long should the coverage period be? (use one decimal point only)

a) If we take 100 random components, how many of them are expected to “live" 7.5 years or more? (round up to the next integer) b) What is the probability that in a random sample of 100 components, 10 or more will live at least 7.5 years? c) Suppose you were a vendor of such components. You want to provide a guarantee to your customers than any component that breaks down within the coverage period will be replaced without charge. If you want to replace only 3% of your components, how long should the coverage period be? (use one decimal point only)

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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#6) The average life of an electronic component is 6 years with a standard deviation of 1 year.
We may assume a normal distribution for the lifespan of such a component.
a) If we take 100 random components, how many of them are expected to "live" 7.5 years or
more? (round up to the next integer)
b) What is the probability that in a random sample of 100 components, 10 or more will live at
least 7.5 years?
c) Suppose you were a vendor of such components. You want to provide a guarantee to your
customers than any component that breaks down within the coverage period will be replaced
without charge. If you want to replace only 3% of your components, how long should the
coverage period be? (use one decimal point only)

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