The lifetime X in hours of a brand electronic component is an exponential random number with probability density function fx(x) = e 100 1 100 if x ≥ 0, 0 Otherwise. Four of these electronic components operate independently in an equipment. The equipment fails to work if and only if at least two of these electronic components fail. 1. Find the probability q that the equipment will work for at least 230 hours. 9 = 0.0037

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

How was the correct answer of 0.0037 attained?

The lifetime X in hours of a brand electronic component is an exponential random number with probability density function
fx(x) = e 100
1
100
if x ≥ 0,
0 Otherwise.
Four of these electronic components operate independently in an equipment. The equipment fails to work if and only if at least two of
these electronic components fail.
1. Find the probability q that the equipment will work for at least 230 hours.
9 = 0.0037
Transcribed Image Text:The lifetime X in hours of a brand electronic component is an exponential random number with probability density function fx(x) = e 100 1 100 if x ≥ 0, 0 Otherwise. Four of these electronic components operate independently in an equipment. The equipment fails to work if and only if at least two of these electronic components fail. 1. Find the probability q that the equipment will work for at least 230 hours. 9 = 0.0037
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON