Solution Found!
The lifetime (in hours) Y of an electronic component is a
Chapter 4, Problem 104E(choose chapter or problem)
The lifetime (in hours) of an electronic component is a random variable with density function given by
\(f(y)=\left\{\begin{array}{ll}
\frac{1}{100} e^{-y / 100}, & y>0, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
Three of these components operate independently in a piece of equipment. The equipment fails if at least two of the components fail. Find the probability that the equipment will operate for at least 200 hours without failure.
Equation Transcription:
Text Transcription:
f(y)=
1100e-y/100, y>0,
0, elsewhere.
Questions & Answers
QUESTION:
The lifetime (in hours) of an electronic component is a random variable with density function given by
\(f(y)=\left\{\begin{array}{ll}
\frac{1}{100} e^{-y / 100}, & y>0, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
Three of these components operate independently in a piece of equipment. The equipment fails if at least two of the components fail. Find the probability that the equipment will operate for at least 200 hours without failure.
Equation Transcription:
Text Transcription:
f(y)=
1100e-y/100, y>0,
0, elsewhere.
ANSWER:
Step1 of 4: Objective
Find the probability, that the equipment will operate for at least 200 hours without failure.