Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Suppose that three components in a certain system each function with probability p and fail with probability 1-p , each components operating or failing independently
Suppose that three components in a certain system each function with probability p and fail with probability 1-p , each components operating or failing independently of the others. But the system is in a random environment so that p is itself a random variable. Suppose that p is uniformly distributed over the interval (0,1]. The system operates if at least two of the components operate. What is the probability that the system operates ?
Step by Step Solution
★★★★★
3.30 Rating (147 Votes )
There are 3 Steps involved in it
Step: 1
To find the probability that the system operates we need to consider the different cases in which th...
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started
Probability And Statistics
Authors: Morris H. DeGroot, Mark J. Schervish
4th Edition
9579701075, 321500466, 978-0176861117, 176861114, 978-0134995472, 978-0321500465
