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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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4.
The thickness of a chip (X) has a mean of 10 micrometers and a standard deviation of 1
micrometer.
(a) Using the Chebchev'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 8/9. Find a and b.
Transcribed Image Text:4. The thickness of a chip (X) has a mean of 10 micrometers and a standard deviation of 1 micrometer. (a) Using the Chebchev'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 8/9. Find a and b.
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