3. The diameter of a particle of contamination (in micrometers) is modeled with the probability density function ƒ(x)= = for x > 1. Determine the following: 3.1 c and P(X<2) 3.3 Mean and variance of X 3.2 P(X>4) and P(2< X<8) 3.4 x such that P(X

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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3. The diameter of a particle of contamination (in micrometers) is modeled with the probability
density function f(x)=for x > 1. Determine the following:
3.1 c and P(X<2)
3.3 Mean and variance of X
3.2 P(X>4) and P(2< X<8)
3.4 x such that P(X<x)=0.95
3.5 The cumulative distribution function F(x)
Transcribed Image Text:3. The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)=for x > 1. Determine the following: 3.1 c and P(X<2) 3.3 Mean and variance of X 3.2 P(X>4) and P(2< X<8) 3.4 x such that P(X<x)=0.95 3.5 The cumulative distribution function F(x)
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