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The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x) = for x > 1. Determine the following (round all of your answers to 3 decimal places): (a) P(X < 5) 0.960 (b) P(X > 8) i 0.125 (c) P(8 < X < 12) 0.0086 (d) P(X < 8 or X > 12) 0.990 (e) Determine x such that P(X < x) = 0.75. 2

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x) = for x > 1. Determine the following (round all of your answers to 3 decimal places): (a) P(X < 5) 0.960 (b) P(X > 8) i 0.125 (c) P(8 < X < 12) 0.0086 (d) P(X < 8 or X > 12) 0.990 (e) Determine x such that P(X < x) = 0.75. 2

MATLAB: An Introduction with Applications
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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16) Solve with the complete method. Please solve part (b) only.

(b)  P(X>8)P(X>8) 

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x) = for x > 1. forx Determine the following (round all of your answers to 3 decimal places): (a) P(X < 5) 0.960 (b) P(X> 8) i 0.125 (c) P(8 < X < 12) 0.0086 (d) P(X < 8 or X > 12) 0.990 (e) Determine x such that P(X < x) = 0.75. 2
Transcribed Image Text:The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x) = for x > 1. forx Determine the following (round all of your answers to 3 decimal places): (a) P(X < 5) 0.960 (b) P(X> 8) i 0.125 (c) P(8 < X < 12) 0.0086 (d) P(X < 8 or X > 12) 0.990 (e) Determine x such that P(X < x) = 0.75. 2
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