Reference no: EM131130883
A system is made up of two components. We suppose that the lifetime (in years) of each component has an exponential distribution with parameter λ = 2 and that the components operate independently. When the system goes down, the two components are then immediately replaced by new ones. We consider three cases:
1. the two components are placed in series (so that both components must function for the system to work);
2. the two components are placed in parallel (so that a single operating component is sufficient for the system to function) and the two components operate at the same time;
3. the two components are placed in parallel, but only one component operates at a time and the other is in standby.
Let N(t), for t > 0, be the number of system failures in the interval [0, t]. Answer the following questions for each of the cases above.
(a) Is {N(t), t ≥ 0} a Poisson process? If it is, give its rate λ. If it's not, justify.
(b) What is the average time elapsed between two consecutive system failures?
|
Are you over benefited or underbenefited in the relationship
: Are you over benefited or underbenefited in the relationship or do feel you are equals? - What behaviors do you use to maintain your relationship?
|
|
Specific activities organization can engage in to accomplish
: Suppose firm XYZ has AR (Accounts Receivable) = 500, Sales = 3000, Inventory = 300, Cost of Goods Sold = 1200, and AP (Accounts Payable) = 100. How much cash does firm XYZ save if it reduces its Days Sales Outstanding by 10 days? What are specific ac..
|
|
A radioactive source according to a poisson process
: (b) Knowing that during a given hour two particles were emitted, what is the probability that one of them was emitted during the first half-hour and the other during the second half-hour of the hour in question?
|
|
How would you invest the money
: Imagine you inherited $50,000 and you want to invest it to meet two financial goals: (a) to save for your wedding, which you plan to have in two years, and (b) to save for your retirement a few decades from now. How would you invest the money? Explai..
|
|
An exponential distribution with parameter
: 2. the two components are placed in parallel (so that a single operating component is sufficient for the system to function) and the two components operate at the same time;
|
|
Schizophrenia and dissociative identity disorder
: Major depression and bipolar disorder:- Schizophrenia and dissociative identity disorder:- Post-traumatic stress disorder and panic disorder
|
|
Highlight the advanced database management elements
: Highlight the Advanced Database Management elements. Relate to at least three learning objectives. Critique the article in terms of relevance to your learning objectives.
|
|
What is your estimate of yubaba stock price four years
: The Yubaba Company has so far not paid a dividend on its stock. Investors believe that the Company won’t pay a dividend next year, but that it will pay dividends starting two years from now. The dividend then is expected to be $0.20 per share. What i..
|
|
How would you describe effective communication
: How would you describe effective communication, and how does that description compare to those outlined in this unit's Learning Activities?
|