Solution Found!
The diameter of a particle of contamination (in
Chapter 4, Problem 4E(choose chapter or problem)
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function \(f(x)=2 x^{3}\) for x > 1. Determine the following:
(a) \(P(X)<2)\) (b) \(P(X>5)\) (c) \(P(4<X<8)\)
(d) \(P(X<4\) or \(x>8 \text { ) }\) (e) x such that \(P(X<x)=0.95\)
Equation transcription:
Text transcription:
f(x)=2 x^{3}
P(X)<2)
P(X>5)
P(4<X<8)
P(X<4
x>8 { ) }
P(X<x)=0.95
Questions & Answers
QUESTION:
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function \(f(x)=2 x^{3}\) for x > 1. Determine the following:
(a) \(P(X)<2)\) (b) \(P(X>5)\) (c) \(P(4<X<8)\)
(d) \(P(X<4\) or \(x>8 \text { ) }\) (e) x such that \(P(X<x)=0.95\)
Equation transcription:
Text transcription:
f(x)=2 x^{3}
P(X)<2)
P(X>5)
P(4<X<8)
P(X<4
x>8 { ) }
P(X<x)=0.95
ANSWER:Step 1 of 7
Probability Density Function for a continuous random variable X s a function such that
So, with 
