kness of a chip (X) has a mean of 10 micrometers and chev's inequality, find a bound for the probability that 14 micrometers. t for some a and b, P(a < X < b) is at least 8/9. Find
kness of a chip (X) has a mean of 10 micrometers and chev's inequality, find a bound for the probability that 14 micrometers. t for some a and b, P(a < X < b) is at least 8/9. Find
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:**Problem 4:**
The thickness of a chip (\(X\)) has a mean of 10 micrometers and a standard deviation of 1 micrometer.
(a) Using Chebyshev's inequality, find a bound for the probability that the thickness is less than 6 or greater than 14 micrometers.
(b) It is known that for some \(a\) and \(b\), \(P(a < X < b)\) is at least \(\frac{8}{9}\). Find \(a\) and \(b\).
Expert Solution

Step 1: Given information
It is given that the thickness of a chip (X) has a mean of 10 micrometers and a standard deviation of 1 micrometre.
μ = 10
σ = 1
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