4.The thickness of a chip (X) has a mean of 10 micrometers and a standard deviation of 1micrometer.(a) Using the Chebchev's inequality, find a bound for the probability that the thickness is less than 6or 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.

Answered: kness of a chip (X) has a mean of 10…

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

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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.

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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