Solution Found!
There are two competing designs for a certain
Chapter 4, Problem 2E(choose chapter or problem)
There are two competing designs for a certain semiconductor circuit. The lifetime of the first (in hours) is exponentially distributed with \(\lambda=10^{-4}\), and the lifetime of the second is lognormally distributed with \(\mu=6\) and \(\sigma^2=5.4\).
a. Use a simulated sample of size 1000 to estimate the probability that a circuit with the first design lasts longer than one with the second design.
b. Estimate the probability that a circuit with the first design lasts more than twice as long as one with the second design.
Equation Transcription:
Text Transcription:
lambda=10^-4
mu=6
sigma^2=5.4
Questions & Answers
QUESTION:
There are two competing designs for a certain semiconductor circuit. The lifetime of the first (in hours) is exponentially distributed with \(\lambda=10^{-4}\), and the lifetime of the second is lognormally distributed with \(\mu=6\) and \(\sigma^2=5.4\).
a. Use a simulated sample of size 1000 to estimate the probability that a circuit with the first design lasts longer than one with the second design.
b. Estimate the probability that a circuit with the first design lasts more than twice as long as one with the second design.
Equation Transcription:
Text Transcription:
lambda=10^-4
mu=6
sigma^2=5.4
ANSWER:
Solution:
Step 1 of 3:
A semiconductor circuit contain two competing designs . The lifetime of the first is exponentially distributed with =
and the lifetime of the second is lognormally distributed with
= 6 and
=5.4.
We have to find
- The probability that first design last longer than the second design by using simulated sample of size 1000.
- The probability that first design lasts more than twice as long as one with the second.