Solution Found!
Let X be the failure time (in months) of a certain
Chapter 3, Problem 20E(choose chapter or problem)
Let \(X\) be the failure time (in months) of a certain insulating material. The distribution of \(X\) is modeled by the pdf
\(f(x)=\frac{2 x}{50^{2}} e^{-(x / 50)^{2}}, \quad 0<x<\infty\).
Find
(a) \(P(40<X<60)\),
(b) \(P(X>80)\).
Equation Transcription:
Text Transcription:
X
f(x)=2x/50^2 e^-(x/50)^2, 0<x<infinity
P(40<X<60)
P(X>80)
Questions & Answers
QUESTION:
Let \(X\) be the failure time (in months) of a certain insulating material. The distribution of \(X\) is modeled by the pdf
\(f(x)=\frac{2 x}{50^{2}} e^{-(x / 50)^{2}}, \quad 0<x<\infty\).
Find
(a) \(P(40<X<60)\),
(b) \(P(X>80)\).
Equation Transcription:
Text Transcription:
X
f(x)=2x/50^2 e^-(x/50)^2, 0<x<infinity
P(40<X<60)
P(X>80)
ANSWER:
Step 1 of 3:
Given that X denotes the failure time(in seconds) of certain material. Also X has the probability density function
f(x)=,0<x<
Using this probability density function we have to find the probability values.